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Finding the Fourth Proportional to 315.56, 471.34 and 247.16

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Solution

The fourth proportional to 315.56, 471.34 and 247.16 is: 369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.56 : 471.34 = 247.16 : x
  2. Step 2: Convert to fraction form
    315.56/471.34 = 247.16/x
  3. Step 3: Cross multiply
    315.56x = 471.34 × 247.16
  4. Step 4: Simplify right side
    315.56x = 116,496.39
  5. Step 5: Solve for x
    x = 116,496.39/315.56
  6. Step 6: Final answer
    x = 369.17

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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.