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Finding the Fourth Proportional to 266.34, 399.42 and 101.78

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Solution

The fourth proportional to 266.34, 399.42 and 101.78 is: 152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.34 : 399.42 = 101.78 : x
  2. Step 2: Convert to fraction form
    266.34/399.42 = 101.78/x
  3. Step 3: Cross multiply
    266.34x = 399.42 × 101.78
  4. Step 4: Simplify right side
    266.34x = 40,652.97
  5. Step 5: Solve for x
    x = 40,652.97/266.34
  6. Step 6: Final answer
    x = 152.64

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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.