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Finding the Fourth Proportional to 175.49, 242.26 and 101.78

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Solution

The fourth proportional to 175.49, 242.26 and 101.78 is: 140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.49 : 242.26 = 101.78 : x
  2. Step 2: Convert to fraction form
    175.49/242.26 = 101.78/x
  3. Step 3: Cross multiply
    175.49x = 242.26 × 101.78
  4. Step 4: Simplify right side
    175.49x = 24,656.67
  5. Step 5: Solve for x
    x = 24,656.67/175.49
  6. Step 6: Final answer
    x = 140.50

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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.