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Finding the Fourth Proportional to 471.30, 706.97 and 178.77

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Solution

The fourth proportional to 471.30, 706.97 and 178.77 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.30 : 706.97 = 178.77 : x
  2. Step 2: Convert to fraction form
    471.30/706.97 = 178.77/x
  3. Step 3: Cross multiply
    471.30x = 706.97 × 178.77
  4. Step 4: Simplify right side
    471.30x = 126,384.13
  5. Step 5: Solve for x
    x = 126,384.13/471.30
  6. Step 6: Final answer
    x = 268.16

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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.