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Finding the Fourth Proportional to 175.35, 240.70 and 159.71

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Solution

The fourth proportional to 175.35, 240.70 and 159.71 is: 219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.35 : 240.70 = 159.71 : x
  2. Step 2: Convert to fraction form
    175.35/240.70 = 159.71/x
  3. Step 3: Cross multiply
    175.35x = 240.70 × 159.71
  4. Step 4: Simplify right side
    175.35x = 38,441.46
  5. Step 5: Solve for x
    x = 38,441.46/175.35
  6. Step 6: Final answer
    x = 219.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.