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Finding the Fourth Proportional to 266.64, 399.54 and 175.14

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Solution

The fourth proportional to 266.64, 399.54 and 175.14 is: 262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.64 : 399.54 = 175.14 : x
  2. Step 2: Convert to fraction form
    266.64/399.54 = 175.14/x
  3. Step 3: Cross multiply
    266.64x = 399.54 × 175.14
  4. Step 4: Simplify right side
    266.64x = 69,973.44
  5. Step 5: Solve for x
    x = 69,973.44/266.64
  6. Step 6: Final answer
    x = 262.43

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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.