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Finding the Fourth Proportional to 175.48, 261.65 and 175.24

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Solution

The fourth proportional to 175.48, 261.65 and 175.24 is: 261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.48 : 261.65 = 175.24 : x
  2. Step 2: Convert to fraction form
    175.48/261.65 = 175.24/x
  3. Step 3: Cross multiply
    175.48x = 261.65 × 175.24
  4. Step 4: Simplify right side
    175.48x = 45,851.55
  5. Step 5: Solve for x
    x = 45,851.55/175.48
  6. Step 6: Final answer
    x = 261.29

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Why These Related Problems?

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