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Finding the Fourth Proportional to 231.60, 345.48 and 204.60

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Solution

The fourth proportional to 231.60, 345.48 and 204.60 is: 305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.60 : 345.48 = 204.60 : x
  2. Step 2: Convert to fraction form
    231.60/345.48 = 204.60/x
  3. Step 3: Cross multiply
    231.60x = 345.48 × 204.60
  4. Step 4: Simplify right side
    231.60x = 70,685.21
  5. Step 5: Solve for x
    x = 70,685.21/231.60
  6. Step 6: Final answer
    x = 305.20

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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.