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Finding the Fourth Proportional to 279.76, 385.92 and 202

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Solution

The fourth proportional to 279.76, 385.92 and 202 is: 278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.76 : 385.92 = 202 : x
  2. Step 2: Convert to fraction form
    279.76/385.92 = 202/x
  3. Step 3: Cross multiply
    279.76x = 385.92 × 202
  4. Step 4: Simplify right side
    279.76x = 77,955.84
  5. Step 5: Solve for x
    x = 77,955.84/279.76
  6. Step 6: Final answer
    x = 278.65

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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.