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Finding the Fourth Proportional to 867.76, 1,301.60 and 218.50

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Solution

The fourth proportional to 867.76, 1,301.60 and 218.50 is: 327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.76 : 1,301.60 = 218.50 : x
  2. Step 2: Convert to fraction form
    867.76/1,301.60 = 218.50/x
  3. Step 3: Cross multiply
    867.76x = 1,301.60 × 218.50
  4. Step 4: Simplify right side
    867.76x = 284,399.60
  5. Step 5: Solve for x
    x = 284,399.60/867.76
  6. Step 6: Final answer
    x = 327.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.