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Finding the Fourth Proportional to 266.63, 400.07 and 175.37

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Solution

The fourth proportional to 266.63, 400.07 and 175.37 is: 263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.63 : 400.07 = 175.37 : x
  2. Step 2: Convert to fraction form
    266.63/400.07 = 175.37/x
  3. Step 3: Cross multiply
    266.63x = 400.07 × 175.37
  4. Step 4: Simplify right side
    266.63x = 70,158.71
  5. Step 5: Solve for x
    x = 70,158.71/266.63
  6. Step 6: Final answer
    x = 263.14

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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.