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Finding the Fourth Proportional to 468.52, 702.81 and 160.36

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Solution

The fourth proportional to 468.52, 702.81 and 160.36 is: 240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.52 : 702.81 = 160.36 : x
  2. Step 2: Convert to fraction form
    468.52/702.81 = 160.36/x
  3. Step 3: Cross multiply
    468.52x = 702.81 × 160.36
  4. Step 4: Simplify right side
    468.52x = 112,702.61
  5. Step 5: Solve for x
    x = 112,702.61/468.52
  6. Step 6: Final answer
    x = 240.55

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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.