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Finding the Fourth Proportional to 242.31, 333.60 and 215.58

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Solution

The fourth proportional to 242.31, 333.60 and 215.58 is: 296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.31 : 333.60 = 215.58 : x
  2. Step 2: Convert to fraction form
    242.31/333.60 = 215.58/x
  3. Step 3: Cross multiply
    242.31x = 333.60 × 215.58
  4. Step 4: Simplify right side
    242.31x = 71,917.49
  5. Step 5: Solve for x
    x = 71,917.49/242.31
  6. Step 6: Final answer
    x = 296.80

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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.