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Finding the Fourth Proportional to 175.50, 261.88 and 159.34

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Solution

The fourth proportional to 175.50, 261.88 and 159.34 is: 237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 261.88 = 159.34 : x
  2. Step 2: Convert to fraction form
    175.50/261.88 = 159.34/x
  3. Step 3: Cross multiply
    175.50x = 261.88 × 159.34
  4. Step 4: Simplify right side
    175.50x = 41,727.96
  5. Step 5: Solve for x
    x = 41,727.96/175.50
  6. Step 6: Final answer
    x = 237.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.