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Finding the Fourth Proportional to 313.30, 432.31 and 188.99

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Solution

The fourth proportional to 313.30, 432.31 and 188.99 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.30 : 432.31 = 188.99 : x
  2. Step 2: Convert to fraction form
    313.30/432.31 = 188.99/x
  3. Step 3: Cross multiply
    313.30x = 432.31 × 188.99
  4. Step 4: Simplify right side
    313.30x = 81,702.27
  5. Step 5: Solve for x
    x = 81,702.27/313.30
  6. Step 6: Final answer
    x = 260.78

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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.