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Finding the Fourth Proportional to 505.59, 758.17 and 158.83

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Solution

The fourth proportional to 505.59, 758.17 and 158.83 is: 238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.59 : 758.17 = 158.83 : x
  2. Step 2: Convert to fraction form
    505.59/758.17 = 158.83/x
  3. Step 3: Cross multiply
    505.59x = 758.17 × 158.83
  4. Step 4: Simplify right side
    505.59x = 120,417.55
  5. Step 5: Solve for x
    x = 120,417.55/505.59
  6. Step 6: Final answer
    x = 238.17

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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.