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Finding the Fourth Proportional to 268.41, 402.34 and 152.85

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Solution

The fourth proportional to 268.41, 402.34 and 152.85 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.41 : 402.34 = 152.85 : x
  2. Step 2: Convert to fraction form
    268.41/402.34 = 152.85/x
  3. Step 3: Cross multiply
    268.41x = 402.34 × 152.85
  4. Step 4: Simplify right side
    268.41x = 61,497.67
  5. Step 5: Solve for x
    x = 61,497.67/268.41
  6. Step 6: Final answer
    x = 229.12

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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.