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Finding the Fourth Proportional to 242.16, 334.13 and 154.77

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Solution

The fourth proportional to 242.16, 334.13 and 154.77 is: 213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.16 : 334.13 = 154.77 : x
  2. Step 2: Convert to fraction form
    242.16/334.13 = 154.77/x
  3. Step 3: Cross multiply
    242.16x = 334.13 × 154.77
  4. Step 4: Simplify right side
    242.16x = 51,712.53
  5. Step 5: Solve for x
    x = 51,712.53/242.16
  6. Step 6: Final answer
    x = 213.55

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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.