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Finding the Fourth Proportional to 506.04, 759.15 and 159.32

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Solution

The fourth proportional to 506.04, 759.15 and 159.32 is: 239.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.04 : 759.15 = 159.32 : x
  2. Step 2: Convert to fraction form
    506.04/759.15 = 159.32/x
  3. Step 3: Cross multiply
    506.04x = 759.15 × 159.32
  4. Step 4: Simplify right side
    506.04x = 120,943.98
  5. Step 5: Solve for x
    x = 120,943.98/506.04
  6. Step 6: Final answer
    x = 239.00

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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.