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Finding the Fourth Proportional to 266.91, 368.30 and 148.88

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Solution

The fourth proportional to 266.91, 368.30 and 148.88 is: 205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.91 : 368.30 = 148.88 : x
  2. Step 2: Convert to fraction form
    266.91/368.30 = 148.88/x
  3. Step 3: Cross multiply
    266.91x = 368.30 × 148.88
  4. Step 4: Simplify right side
    266.91x = 54,832.50
  5. Step 5: Solve for x
    x = 54,832.50/266.91
  6. Step 6: Final answer
    x = 205.43

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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.