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Finding the Fourth Proportional to 279.88, 419.74 and 87.52

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Solution

The fourth proportional to 279.88, 419.74 and 87.52 is: 131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.88 : 419.74 = 87.52 : x
  2. Step 2: Convert to fraction form
    279.88/419.74 = 87.52/x
  3. Step 3: Cross multiply
    279.88x = 419.74 × 87.52
  4. Step 4: Simplify right side
    279.88x = 36,735.64
  5. Step 5: Solve for x
    x = 36,735.64/279.88
  6. Step 6: Final answer
    x = 131.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.