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Finding the Fourth Proportional to 359.59, 538.97 and 154.05

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Solution

The fourth proportional to 359.59, 538.97 and 154.05 is: 230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.59 : 538.97 = 154.05 : x
  2. Step 2: Convert to fraction form
    359.59/538.97 = 154.05/x
  3. Step 3: Cross multiply
    359.59x = 538.97 × 154.05
  4. Step 4: Simplify right side
    359.59x = 83,028.71
  5. Step 5: Solve for x
    x = 83,028.71/359.59
  6. Step 6: Final answer
    x = 230.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.