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Finding the Fourth Proportional to 175.65, 263.40 and 84.24

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Solution

The fourth proportional to 175.65, 263.40 and 84.24 is: 126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.65 : 263.40 = 84.24 : x
  2. Step 2: Convert to fraction form
    175.65/263.40 = 84.24/x
  3. Step 3: Cross multiply
    175.65x = 263.40 × 84.24
  4. Step 4: Simplify right side
    175.65x = 22,188.82
  5. Step 5: Solve for x
    x = 22,188.82/175.65
  6. Step 6: Final answer
    x = 126.32

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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.