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Finding the Fourth Proportional to 318.60, 477.80 and 164.50

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Solution

The fourth proportional to 318.60, 477.80 and 164.50 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.60 : 477.80 = 164.50 : x
  2. Step 2: Convert to fraction form
    318.60/477.80 = 164.50/x
  3. Step 3: Cross multiply
    318.60x = 477.80 × 164.50
  4. Step 4: Simplify right side
    318.60x = 78,598.10
  5. Step 5: Solve for x
    x = 78,598.10/318.60
  6. Step 6: Final answer
    x = 246.70

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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.