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Finding the Fourth Proportional to 261.23, 362.07 and 246.04

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Solution

The fourth proportional to 261.23, 362.07 and 246.04 is: 341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.23 : 362.07 = 246.04 : x
  2. Step 2: Convert to fraction form
    261.23/362.07 = 246.04/x
  3. Step 3: Cross multiply
    261.23x = 362.07 × 246.04
  4. Step 4: Simplify right side
    261.23x = 89,082.80
  5. Step 5: Solve for x
    x = 89,082.80/261.23
  6. Step 6: Final answer
    x = 341.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.