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Finding the Fourth Proportional to 313.50, 432.63 and 182.58

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Solution

The fourth proportional to 313.50, 432.63 and 182.58 is: 251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.50 : 432.63 = 182.58 : x
  2. Step 2: Convert to fraction form
    313.50/432.63 = 182.58/x
  3. Step 3: Cross multiply
    313.50x = 432.63 × 182.58
  4. Step 4: Simplify right side
    313.50x = 78,989.59
  5. Step 5: Solve for x
    x = 78,989.59/313.50
  6. Step 6: Final answer
    x = 251.96

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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.