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Finding the Fourth Proportional to 261.49, 360.70 and 202.39

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Solution

The fourth proportional to 261.49, 360.70 and 202.39 is: 279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.49 : 360.70 = 202.39 : x
  2. Step 2: Convert to fraction form
    261.49/360.70 = 202.39/x
  3. Step 3: Cross multiply
    261.49x = 360.70 × 202.39
  4. Step 4: Simplify right side
    261.49x = 73,002.07
  5. Step 5: Solve for x
    x = 73,002.07/261.49
  6. Step 6: Final answer
    x = 279.18

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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.