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Finding the Fourth Proportional to 218.73, 301.80 and 152.31

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Solution

The fourth proportional to 218.73, 301.80 and 152.31 is: 210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.73 : 301.80 = 152.31 : x
  2. Step 2: Convert to fraction form
    218.73/301.80 = 152.31/x
  3. Step 3: Cross multiply
    218.73x = 301.80 × 152.31
  4. Step 4: Simplify right side
    218.73x = 45,967.16
  5. Step 5: Solve for x
    x = 45,967.16/218.73
  6. Step 6: Final answer
    x = 210.15

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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.