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Finding the Fourth Proportional to 266.39, 367.59 and 148.36

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Solution

The fourth proportional to 266.39, 367.59 and 148.36 is: 204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.39 : 367.59 = 148.36 : x
  2. Step 2: Convert to fraction form
    266.39/367.59 = 148.36/x
  3. Step 3: Cross multiply
    266.39x = 367.59 × 148.36
  4. Step 4: Simplify right side
    266.39x = 54,534.73
  5. Step 5: Solve for x
    x = 54,534.73/266.39
  6. Step 6: Final answer
    x = 204.72

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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.