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Finding the Fourth Proportional to 590.90, 886.34 and 158.05

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Solution

The fourth proportional to 590.90, 886.34 and 158.05 is: 237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.90 : 886.34 = 158.05 : x
  2. Step 2: Convert to fraction form
    590.90/886.34 = 158.05/x
  3. Step 3: Cross multiply
    590.90x = 886.34 × 158.05
  4. Step 4: Simplify right side
    590.90x = 140,086.04
  5. Step 5: Solve for x
    x = 140,086.04/590.90
  6. Step 6: Final answer
    x = 237.07

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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.