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Finding the Fourth Proportional to 175.98, 242.86 and 102.33

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Solution

The fourth proportional to 175.98, 242.86 and 102.33 is: 141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.98 : 242.86 = 102.33 : x
  2. Step 2: Convert to fraction form
    175.98/242.86 = 102.33/x
  3. Step 3: Cross multiply
    175.98x = 242.86 × 102.33
  4. Step 4: Simplify right side
    175.98x = 24,851.35
  5. Step 5: Solve for x
    x = 24,851.35/175.98
  6. Step 6: Final answer
    x = 141.22

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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.