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Finding the Fourth Proportional to 218.24, 300.68 and 152.60

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Solution

The fourth proportional to 218.24, 300.68 and 152.60 is: 210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.24 : 300.68 = 152.60 : x
  2. Step 2: Convert to fraction form
    218.24/300.68 = 152.60/x
  3. Step 3: Cross multiply
    218.24x = 300.68 × 152.60
  4. Step 4: Simplify right side
    218.24x = 45,883.77
  5. Step 5: Solve for x
    x = 45,883.77/218.24
  6. Step 6: Final answer
    x = 210.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.