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Finding the Fourth Proportional to 313.74, 470.16 and 176.76

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Solution

The fourth proportional to 313.74, 470.16 and 176.76 is: 264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.74 : 470.16 = 176.76 : x
  2. Step 2: Convert to fraction form
    313.74/470.16 = 176.76/x
  3. Step 3: Cross multiply
    313.74x = 470.16 × 176.76
  4. Step 4: Simplify right side
    313.74x = 83,105.48
  5. Step 5: Solve for x
    x = 83,105.48/313.74
  6. Step 6: Final answer
    x = 264.89

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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.