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Finding the Fourth Proportional to 263.32, 363.18 and 176.12

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Solution

The fourth proportional to 263.32, 363.18 and 176.12 is: 242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.32 : 363.18 = 176.12 : x
  2. Step 2: Convert to fraction form
    263.32/363.18 = 176.12/x
  3. Step 3: Cross multiply
    263.32x = 363.18 × 176.12
  4. Step 4: Simplify right side
    263.32x = 63,963.26
  5. Step 5: Solve for x
    x = 63,963.26/263.32
  6. Step 6: Final answer
    x = 242.91

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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.