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Finding the Fourth Proportional to 505.34, 758.01 and 158.66

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Solution

The fourth proportional to 505.34, 758.01 and 158.66 is: 237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.34 : 758.01 = 158.66 : x
  2. Step 2: Convert to fraction form
    505.34/758.01 = 158.66/x
  3. Step 3: Cross multiply
    505.34x = 758.01 × 158.66
  4. Step 4: Simplify right side
    505.34x = 120,265.87
  5. Step 5: Solve for x
    x = 120,265.87/505.34
  6. Step 6: Final answer
    x = 237.99

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Why These Related Problems?

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