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Finding the Fourth Proportional to 261.52, 392.06 and 180.25

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Solution

The fourth proportional to 261.52, 392.06 and 180.25 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.52 : 392.06 = 180.25 : x
  2. Step 2: Convert to fraction form
    261.52/392.06 = 180.25/x
  3. Step 3: Cross multiply
    261.52x = 392.06 × 180.25
  4. Step 4: Simplify right side
    261.52x = 70,668.29
  5. Step 5: Solve for x
    x = 70,668.29/261.52
  6. Step 6: Final answer
    x = 270.22

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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.