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Finding the Fourth Proportional to 261.34, 360.53 and 172.73

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Solution

The fourth proportional to 261.34, 360.53 and 172.73 is: 238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.34 : 360.53 = 172.73 : x
  2. Step 2: Convert to fraction form
    261.34/360.53 = 172.73/x
  3. Step 3: Cross multiply
    261.34x = 360.53 × 172.73
  4. Step 4: Simplify right side
    261.34x = 62,274.55
  5. Step 5: Solve for x
    x = 62,274.55/261.34
  6. Step 6: Final answer
    x = 238.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.