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Finding the Fourth Proportional to 318.60, 477.56 and 145.06

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Solution

The fourth proportional to 318.60, 477.56 and 145.06 is: 217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.60 : 477.56 = 145.06 : x
  2. Step 2: Convert to fraction form
    318.60/477.56 = 145.06/x
  3. Step 3: Cross multiply
    318.60x = 477.56 × 145.06
  4. Step 4: Simplify right side
    318.60x = 69,274.02
  5. Step 5: Solve for x
    x = 69,274.02/318.60
  6. Step 6: Final answer
    x = 217.43

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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.