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Finding the Fourth Proportional to 592.24, 888.34 and 159.38

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Solution

The fourth proportional to 592.24, 888.34 and 159.38 is: 239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.24 : 888.34 = 159.38 : x
  2. Step 2: Convert to fraction form
    592.24/888.34 = 159.38/x
  3. Step 3: Cross multiply
    592.24x = 888.34 × 159.38
  4. Step 4: Simplify right side
    592.24x = 141,583.63
  5. Step 5: Solve for x
    x = 141,583.63/592.24
  6. Step 6: Final answer
    x = 239.06

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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.