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Finding the Fourth Proportional to 175.96, 242.84 and 102.26

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Solution

The fourth proportional to 175.96, 242.84 and 102.26 is: 141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.96 : 242.84 = 102.26 : x
  2. Step 2: Convert to fraction form
    175.96/242.84 = 102.26/x
  3. Step 3: Cross multiply
    175.96x = 242.84 × 102.26
  4. Step 4: Simplify right side
    175.96x = 24,832.82
  5. Step 5: Solve for x
    x = 24,832.82/175.96
  6. Step 6: Final answer
    x = 141.13

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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.