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Finding the Fourth Proportional to 468.06, 702.02 and 159.86

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Solution

The fourth proportional to 468.06, 702.02 and 159.86 is: 239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.06 : 702.02 = 159.86 : x
  2. Step 2: Convert to fraction form
    468.06/702.02 = 159.86/x
  3. Step 3: Cross multiply
    468.06x = 702.02 × 159.86
  4. Step 4: Simplify right side
    468.06x = 112,224.92
  5. Step 5: Solve for x
    x = 112,224.92/468.06
  6. Step 6: Final answer
    x = 239.77

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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.