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Finding the Fourth Proportional to 268.70, 402.98 and 106.50

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Solution

The fourth proportional to 268.70, 402.98 and 106.50 is: 159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.70 : 402.98 = 106.50 : x
  2. Step 2: Convert to fraction form
    268.70/402.98 = 106.50/x
  3. Step 3: Cross multiply
    268.70x = 402.98 × 106.50
  4. Step 4: Simplify right side
    268.70x = 42,916.84
  5. Step 5: Solve for x
    x = 42,916.84/268.70
  6. Step 6: Final answer
    x = 159.72

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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.