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Finding the Fourth Proportional to 312.84, 470.24 and 176.16

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Solution

The fourth proportional to 312.84, 470.24 and 176.16 is: 264.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 470.24 = 176.16 : x
  2. Step 2: Convert to fraction form
    312.84/470.24 = 176.16/x
  3. Step 3: Cross multiply
    312.84x = 470.24 × 176.16
  4. Step 4: Simplify right side
    312.84x = 82,836.60
  5. Step 5: Solve for x
    x = 82,836.60/312.84
  6. Step 6: Final answer
    x = 264.79

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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.