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Finding the Fourth Proportional to 266.58, 367.88 and 148.55

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Solution

The fourth proportional to 266.58, 367.88 and 148.55 is: 205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.58 : 367.88 = 148.55 : x
  2. Step 2: Convert to fraction form
    266.58/367.88 = 148.55/x
  3. Step 3: Cross multiply
    266.58x = 367.88 × 148.55
  4. Step 4: Simplify right side
    266.58x = 54,648.57
  5. Step 5: Solve for x
    x = 54,648.57/266.58
  6. Step 6: Final answer
    x = 205.00

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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.