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Finding the Fourth Proportional to 242.53, 334.64 and 149.29

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Solution

The fourth proportional to 242.53, 334.64 and 149.29 is: 205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.53 : 334.64 = 149.29 : x
  2. Step 2: Convert to fraction form
    242.53/334.64 = 149.29/x
  3. Step 3: Cross multiply
    242.53x = 334.64 × 149.29
  4. Step 4: Simplify right side
    242.53x = 49,957.94
  5. Step 5: Solve for x
    x = 49,957.94/242.53
  6. Step 6: Final answer
    x = 205.99

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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.