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Finding the Fourth Proportional to 175.50, 263.29 and 53.76

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Solution

The fourth proportional to 175.50, 263.29 and 53.76 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 263.29 = 53.76 : x
  2. Step 2: Convert to fraction form
    175.50/263.29 = 53.76/x
  3. Step 3: Cross multiply
    175.50x = 263.29 × 53.76
  4. Step 4: Simplify right side
    175.50x = 14,154.47
  5. Step 5: Solve for x
    x = 14,154.47/175.50
  6. Step 6: Final answer
    x = 80.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.