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Finding the Fourth Proportional to 261.28, 360.57 and 172.65

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Solution

The fourth proportional to 261.28, 360.57 and 172.65 is: 238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.28 : 360.57 = 172.65 : x
  2. Step 2: Convert to fraction form
    261.28/360.57 = 172.65/x
  3. Step 3: Cross multiply
    261.28x = 360.57 × 172.65
  4. Step 4: Simplify right side
    261.28x = 62,252.41
  5. Step 5: Solve for x
    x = 62,252.41/261.28
  6. Step 6: Final answer
    x = 238.26

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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.