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Finding the Fourth Proportional to 175.91, 242.84 and 132.26

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Solution

The fourth proportional to 175.91, 242.84 and 132.26 is: 182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.91 : 242.84 = 132.26 : x
  2. Step 2: Convert to fraction form
    175.91/242.84 = 132.26/x
  3. Step 3: Cross multiply
    175.91x = 242.84 × 132.26
  4. Step 4: Simplify right side
    175.91x = 32,117.36
  5. Step 5: Solve for x
    x = 32,117.36/175.91
  6. Step 6: Final answer
    x = 182.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.