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Finding the Fourth Proportional to 266.22, 399.26 and 101.65

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Solution

The fourth proportional to 266.22, 399.26 and 101.65 is: 152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.22 : 399.26 = 101.65 : x
  2. Step 2: Convert to fraction form
    266.22/399.26 = 101.65/x
  3. Step 3: Cross multiply
    266.22x = 399.26 × 101.65
  4. Step 4: Simplify right side
    266.22x = 40,586.03
  5. Step 5: Solve for x
    x = 40,586.03/266.22
  6. Step 6: Final answer
    x = 152.45

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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.