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Finding the Fourth Proportional to 468.01, 702.06 and 159.76

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Solution

The fourth proportional to 468.01, 702.06 and 159.76 is: 239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.01 : 702.06 = 159.76 : x
  2. Step 2: Convert to fraction form
    468.01/702.06 = 159.76/x
  3. Step 3: Cross multiply
    468.01x = 702.06 × 159.76
  4. Step 4: Simplify right side
    468.01x = 112,161.11
  5. Step 5: Solve for x
    x = 112,161.11/468.01
  6. Step 6: Final answer
    x = 239.66

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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.