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Finding the Fourth Proportional to 261.14, 360.49 and 211.93

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Solution

The fourth proportional to 261.14, 360.49 and 211.93 is: 292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.14 : 360.49 = 211.93 : x
  2. Step 2: Convert to fraction form
    261.14/360.49 = 211.93/x
  3. Step 3: Cross multiply
    261.14x = 360.49 × 211.93
  4. Step 4: Simplify right side
    261.14x = 76,397.21
  5. Step 5: Solve for x
    x = 76,397.21/261.14
  6. Step 6: Final answer
    x = 292.56

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