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Finding the Fourth Proportional to 279.57, 385.77 and 155.24

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Solution

The fourth proportional to 279.57, 385.77 and 155.24 is: 214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.57 : 385.77 = 155.24 : x
  2. Step 2: Convert to fraction form
    279.57/385.77 = 155.24/x
  3. Step 3: Cross multiply
    279.57x = 385.77 × 155.24
  4. Step 4: Simplify right side
    279.57x = 59,885.01
  5. Step 5: Solve for x
    x = 59,885.01/279.57
  6. Step 6: Final answer
    x = 214.20

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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.