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Finding the Fourth Proportional to 242.61, 363.65 and 176.56

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Solution

The fourth proportional to 242.61, 363.65 and 176.56 is: 264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.61 : 363.65 = 176.56 : x
  2. Step 2: Convert to fraction form
    242.61/363.65 = 176.56/x
  3. Step 3: Cross multiply
    242.61x = 363.65 × 176.56
  4. Step 4: Simplify right side
    242.61x = 64,207.39
  5. Step 5: Solve for x
    x = 64,207.39/242.61
  6. Step 6: Final answer
    x = 264.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.