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Finding the Fourth Proportional to 261.08, 360.22 and 154.72

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Solution

The fourth proportional to 261.08, 360.22 and 154.72 is: 213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.08 : 360.22 = 154.72 : x
  2. Step 2: Convert to fraction form
    261.08/360.22 = 154.72/x
  3. Step 3: Cross multiply
    261.08x = 360.22 × 154.72
  4. Step 4: Simplify right side
    261.08x = 55,731.95
  5. Step 5: Solve for x
    x = 55,731.95/261.08
  6. Step 6: Final answer
    x = 213.46

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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.