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Finding the Fourth Proportional to 318.56, 477.69 and 102.08

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Solution

The fourth proportional to 318.56, 477.69 and 102.08 is: 153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.56 : 477.69 = 102.08 : x
  2. Step 2: Convert to fraction form
    318.56/477.69 = 102.08/x
  3. Step 3: Cross multiply
    318.56x = 477.69 × 102.08
  4. Step 4: Simplify right side
    318.56x = 48,762.60
  5. Step 5: Solve for x
    x = 48,762.60/318.56
  6. Step 6: Final answer
    x = 153.07

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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.