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Finding the Fourth Proportional to 316.56, 472.83 and 248.16

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Solution

The fourth proportional to 316.56, 472.83 and 248.16 is: 370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.56 : 472.83 = 248.16 : x
  2. Step 2: Convert to fraction form
    316.56/472.83 = 248.16/x
  3. Step 3: Cross multiply
    316.56x = 472.83 × 248.16
  4. Step 4: Simplify right side
    316.56x = 117,337.49
  5. Step 5: Solve for x
    x = 117,337.49/316.56
  6. Step 6: Final answer
    x = 370.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.