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Finding the Fourth Proportional to 313.52, 470.56 and 176.64

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Solution

The fourth proportional to 313.52, 470.56 and 176.64 is: 265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.52 : 470.56 = 176.64 : x
  2. Step 2: Convert to fraction form
    313.52/470.56 = 176.64/x
  3. Step 3: Cross multiply
    313.52x = 470.56 × 176.64
  4. Step 4: Simplify right side
    313.52x = 83,119.72
  5. Step 5: Solve for x
    x = 83,119.72/313.52
  6. Step 6: Final answer
    x = 265.12

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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.