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Finding the Fourth Proportional to 216.31, 298.65 and 129.01

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Solution

The fourth proportional to 216.31, 298.65 and 129.01 is: 178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.31 : 298.65 = 129.01 : x
  2. Step 2: Convert to fraction form
    216.31/298.65 = 129.01/x
  3. Step 3: Cross multiply
    216.31x = 298.65 × 129.01
  4. Step 4: Simplify right side
    216.31x = 38,528.84
  5. Step 5: Solve for x
    x = 38,528.84/216.31
  6. Step 6: Final answer
    x = 178.12

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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.