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Finding the Fourth Proportional to 468.18, 701.17 and 236.50

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Solution

The fourth proportional to 468.18, 701.17 and 236.50 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.18 : 701.17 = 236.50 : x
  2. Step 2: Convert to fraction form
    468.18/701.17 = 236.50/x
  3. Step 3: Cross multiply
    468.18x = 701.17 × 236.50
  4. Step 4: Simplify right side
    468.18x = 165,825.52
  5. Step 5: Solve for x
    x = 165,825.52/468.18
  6. Step 6: Final answer
    x = 354.20

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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.