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Finding the Fourth Proportional to 292.47, 438.30 and 170.97

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Solution

The fourth proportional to 292.47, 438.30 and 170.97 is: 256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.47 : 438.30 = 170.97 : x
  2. Step 2: Convert to fraction form
    292.47/438.30 = 170.97/x
  3. Step 3: Cross multiply
    292.47x = 438.30 × 170.97
  4. Step 4: Simplify right side
    292.47x = 74,936.15
  5. Step 5: Solve for x
    x = 74,936.15/292.47
  6. Step 6: Final answer
    x = 256.22

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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.