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Finding the Fourth Proportional to 313.66, 470.17 and 176.77

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Solution

The fourth proportional to 313.66, 470.17 and 176.77 is: 264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.66 : 470.17 = 176.77 : x
  2. Step 2: Convert to fraction form
    313.66/470.17 = 176.77/x
  3. Step 3: Cross multiply
    313.66x = 470.17 × 176.77
  4. Step 4: Simplify right side
    313.66x = 83,111.95
  5. Step 5: Solve for x
    x = 83,111.95/313.66
  6. Step 6: Final answer
    x = 264.97

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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.