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Finding the Fourth Proportional to 242.53, 334.33 and 214.85

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Solution

The fourth proportional to 242.53, 334.33 and 214.85 is: 296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.53 : 334.33 = 214.85 : x
  2. Step 2: Convert to fraction form
    242.53/334.33 = 214.85/x
  3. Step 3: Cross multiply
    242.53x = 334.33 × 214.85
  4. Step 4: Simplify right side
    242.53x = 71,831.10
  5. Step 5: Solve for x
    x = 71,831.10/242.53
  6. Step 6: Final answer
    x = 296.18

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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.