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Finding the Fourth Proportional to 175.42, 242.19 and 155.96

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Solution

The fourth proportional to 175.42, 242.19 and 155.96 is: 215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.42 : 242.19 = 155.96 : x
  2. Step 2: Convert to fraction form
    175.42/242.19 = 155.96/x
  3. Step 3: Cross multiply
    175.42x = 242.19 × 155.96
  4. Step 4: Simplify right side
    175.42x = 37,772.73
  5. Step 5: Solve for x
    x = 37,772.73/175.42
  6. Step 6: Final answer
    x = 215.32

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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.