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Finding the Fourth Proportional to 266.78, 368.10 and 150.32

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Solution

The fourth proportional to 266.78, 368.10 and 150.32 is: 207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 368.10 = 150.32 : x
  2. Step 2: Convert to fraction form
    266.78/368.10 = 150.32/x
  3. Step 3: Cross multiply
    266.78x = 368.10 × 150.32
  4. Step 4: Simplify right side
    266.78x = 55,332.79
  5. Step 5: Solve for x
    x = 55,332.79/266.78
  6. Step 6: Final answer
    x = 207.41

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