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Finding the Fourth Proportional to 175.65, 242.45 and 113.48

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Solution

The fourth proportional to 175.65, 242.45 and 113.48 is: 156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.65 : 242.45 = 113.48 : x
  2. Step 2: Convert to fraction form
    175.65/242.45 = 113.48/x
  3. Step 3: Cross multiply
    175.65x = 242.45 × 113.48
  4. Step 4: Simplify right side
    175.65x = 27,514.78
  5. Step 5: Solve for x
    x = 27,514.78/175.65
  6. Step 6: Final answer
    x = 156.64

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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.