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Finding the Fourth Proportional to 468.47, 702.75 and 143.78

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Solution

The fourth proportional to 468.47, 702.75 and 143.78 is: 215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.47 : 702.75 = 143.78 : x
  2. Step 2: Convert to fraction form
    468.47/702.75 = 143.78/x
  3. Step 3: Cross multiply
    468.47x = 702.75 × 143.78
  4. Step 4: Simplify right side
    468.47x = 101,041.40
  5. Step 5: Solve for x
    x = 101,041.40/468.47
  6. Step 6: Final answer
    x = 215.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.