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Finding the Fourth Proportional to 268.98, 403.35 and 95.69

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Solution

The fourth proportional to 268.98, 403.35 and 95.69 is: 143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.98 : 403.35 = 95.69 : x
  2. Step 2: Convert to fraction form
    268.98/403.35 = 95.69/x
  3. Step 3: Cross multiply
    268.98x = 403.35 × 95.69
  4. Step 4: Simplify right side
    268.98x = 38,594.31
  5. Step 5: Solve for x
    x = 38,594.31/268.98
  6. Step 6: Final answer
    x = 143.49

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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.