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Finding the Fourth Proportional to 312.40, 431.14 and 188.04

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Solution

The fourth proportional to 312.40, 431.14 and 188.04 is: 259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.40 : 431.14 = 188.04 : x
  2. Step 2: Convert to fraction form
    312.40/431.14 = 188.04/x
  3. Step 3: Cross multiply
    312.40x = 431.14 × 188.04
  4. Step 4: Simplify right side
    312.40x = 81,073.42
  5. Step 5: Solve for x
    x = 81,073.42/312.40
  6. Step 6: Final answer
    x = 259.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.