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Finding the Fourth Proportional to 359.69, 539.75 and 177.10

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Solution

The fourth proportional to 359.69, 539.75 and 177.10 is: 265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.69 : 539.75 = 177.10 : x
  2. Step 2: Convert to fraction form
    359.69/539.75 = 177.10/x
  3. Step 3: Cross multiply
    359.69x = 539.75 × 177.10
  4. Step 4: Simplify right side
    359.69x = 95,587.49
  5. Step 5: Solve for x
    x = 95,587.49/359.69
  6. Step 6: Final answer
    x = 265.75

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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.