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Finding the Fourth Proportional to 632.50, 948.64 and 170.17

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Solution

The fourth proportional to 632.50, 948.64 and 170.17 is: 255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.50 : 948.64 = 170.17 : x
  2. Step 2: Convert to fraction form
    632.50/948.64 = 170.17/x
  3. Step 3: Cross multiply
    632.50x = 948.64 × 170.17
  4. Step 4: Simplify right side
    632.50x = 161,432.61
  5. Step 5: Solve for x
    x = 161,432.61/632.50
  6. Step 6: Final answer
    x = 255.23

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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.