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Finding the Fourth Proportional to 468.66, 702.93 and 144.00

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Solution

The fourth proportional to 468.66, 702.93 and 144.00 is: 215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.66 : 702.93 = 144.00 : x
  2. Step 2: Convert to fraction form
    468.66/702.93 = 144.00/x
  3. Step 3: Cross multiply
    468.66x = 702.93 × 144.00
  4. Step 4: Simplify right side
    468.66x = 101,224.04
  5. Step 5: Solve for x
    x = 101,224.04/468.66
  6. Step 6: Final answer
    x = 215.98

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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.