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Finding the Fourth Proportional to 266.36, 398.52 and 175.16

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Solution

The fourth proportional to 266.36, 398.52 and 175.16 is: 262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.36 : 398.52 = 175.16 : x
  2. Step 2: Convert to fraction form
    266.36/398.52 = 175.16/x
  3. Step 3: Cross multiply
    266.36x = 398.52 × 175.16
  4. Step 4: Simplify right side
    266.36x = 69,805.76
  5. Step 5: Solve for x
    x = 69,805.76/266.36
  6. Step 6: Final answer
    x = 262.08

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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.