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Finding the Fourth Proportional to 313.50, 432.35 and 202.87

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Solution

The fourth proportional to 313.50, 432.35 and 202.87 is: 279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.50 : 432.35 = 202.87 : x
  2. Step 2: Convert to fraction form
    313.50/432.35 = 202.87/x
  3. Step 3: Cross multiply
    313.50x = 432.35 × 202.87
  4. Step 4: Simplify right side
    313.50x = 87,708.68
  5. Step 5: Solve for x
    x = 87,708.68/313.50
  6. Step 6: Final answer
    x = 279.77

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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.