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Finding the Fourth Proportional to 266.83, 368.24 and 150.40

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Solution

The fourth proportional to 266.83, 368.24 and 150.40 is: 207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.83 : 368.24 = 150.40 : x
  2. Step 2: Convert to fraction form
    266.83/368.24 = 150.40/x
  3. Step 3: Cross multiply
    266.83x = 368.24 × 150.40
  4. Step 4: Simplify right side
    266.83x = 55,382.19
  5. Step 5: Solve for x
    x = 55,382.19/266.83
  6. Step 6: Final answer
    x = 207.56

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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.