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Finding the Fourth Proportional to 266.23, 399.45 and 144.35

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Solution

The fourth proportional to 266.23, 399.45 and 144.35 is: 216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.23 : 399.45 = 144.35 : x
  2. Step 2: Convert to fraction form
    266.23/399.45 = 144.35/x
  3. Step 3: Cross multiply
    266.23x = 399.45 × 144.35
  4. Step 4: Simplify right side
    266.23x = 57,658.61
  5. Step 5: Solve for x
    x = 57,658.61/266.23
  6. Step 6: Final answer
    x = 216.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.