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Finding the Fourth Proportional to 242.76, 334.93 and 155.49

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Solution

The fourth proportional to 242.76, 334.93 and 155.49 is: 214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.76 : 334.93 = 155.49 : x
  2. Step 2: Convert to fraction form
    242.76/334.93 = 155.49/x
  3. Step 3: Cross multiply
    242.76x = 334.93 × 155.49
  4. Step 4: Simplify right side
    242.76x = 52,078.27
  5. Step 5: Solve for x
    x = 52,078.27/242.76
  6. Step 6: Final answer
    x = 214.53

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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.