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Finding the Fourth Proportional to 313.52, 432.57 and 195.31

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Solution

The fourth proportional to 313.52, 432.57 and 195.31 is: 269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.52 : 432.57 = 195.31 : x
  2. Step 2: Convert to fraction form
    313.52/432.57 = 195.31/x
  3. Step 3: Cross multiply
    313.52x = 432.57 × 195.31
  4. Step 4: Simplify right side
    313.52x = 84,483.08
  5. Step 5: Solve for x
    x = 84,483.08/313.52
  6. Step 6: Final answer
    x = 269.47

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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.