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Finding the Fourth Proportional to 468.30, 702.08 and 179.94

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Solution

The fourth proportional to 468.30, 702.08 and 179.94 is: 269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.30 : 702.08 = 179.94 : x
  2. Step 2: Convert to fraction form
    468.30/702.08 = 179.94/x
  3. Step 3: Cross multiply
    468.30x = 702.08 × 179.94
  4. Step 4: Simplify right side
    468.30x = 126,332.28
  5. Step 5: Solve for x
    x = 126,332.28/468.30
  6. Step 6: Final answer
    x = 269.77

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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.