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Finding the Fourth Proportional to 359.17, 538.84 and 153.63

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Solution

The fourth proportional to 359.17, 538.84 and 153.63 is: 230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.17 : 538.84 = 153.63 : x
  2. Step 2: Convert to fraction form
    359.17/538.84 = 153.63/x
  3. Step 3: Cross multiply
    359.17x = 538.84 × 153.63
  4. Step 4: Simplify right side
    359.17x = 82,781.99
  5. Step 5: Solve for x
    x = 82,781.99/359.17
  6. Step 6: Final answer
    x = 230.48

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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.