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Finding the Fourth Proportional to 231.18, 345.66 and 210.78

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Solution

The fourth proportional to 231.18, 345.66 and 210.78 is: 315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.18 : 345.66 = 210.78 : x
  2. Step 2: Convert to fraction form
    231.18/345.66 = 210.78/x
  3. Step 3: Cross multiply
    231.18x = 345.66 × 210.78
  4. Step 4: Simplify right side
    231.18x = 72,858.21
  5. Step 5: Solve for x
    x = 72,858.21/231.18
  6. Step 6: Final answer
    x = 315.16

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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.