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Finding the Fourth Proportional to 266.72, 368.10 and 150.29

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Solution

The fourth proportional to 266.72, 368.10 and 150.29 is: 207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.72 : 368.10 = 150.29 : x
  2. Step 2: Convert to fraction form
    266.72/368.10 = 150.29/x
  3. Step 3: Cross multiply
    266.72x = 368.10 × 150.29
  4. Step 4: Simplify right side
    266.72x = 55,319.91
  5. Step 5: Solve for x
    x = 55,319.91/266.72
  6. Step 6: Final answer
    x = 207.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.