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Finding the Fourth Proportional to 359.27, 538.84 and 99.29

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Solution

The fourth proportional to 359.27, 538.84 and 99.29 is: 148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.27 : 538.84 = 99.29 : x
  2. Step 2: Convert to fraction form
    359.27/538.84 = 99.29/x
  3. Step 3: Cross multiply
    359.27x = 538.84 × 99.29
  4. Step 4: Simplify right side
    359.27x = 53,498.23
  5. Step 5: Solve for x
    x = 53,498.23/359.27
  6. Step 6: Final answer
    x = 148.91

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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.