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Finding the Fourth Proportional to 266.07, 399.15 and 83.46

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Solution

The fourth proportional to 266.07, 399.15 and 83.46 is: 125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.07 : 399.15 = 83.46 : x
  2. Step 2: Convert to fraction form
    266.07/399.15 = 83.46/x
  3. Step 3: Cross multiply
    266.07x = 399.15 × 83.46
  4. Step 4: Simplify right side
    266.07x = 33,313.06
  5. Step 5: Solve for x
    x = 33,313.06/266.07
  6. Step 6: Final answer
    x = 125.20

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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.