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Finding the Fourth Proportional to 313.19, 432.23 and 202.96

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Solution

The fourth proportional to 313.19, 432.23 and 202.96 is: 280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.19 : 432.23 = 202.96 : x
  2. Step 2: Convert to fraction form
    313.19/432.23 = 202.96/x
  3. Step 3: Cross multiply
    313.19x = 432.23 × 202.96
  4. Step 4: Simplify right side
    313.19x = 87,725.40
  5. Step 5: Solve for x
    x = 87,725.40/313.19
  6. Step 6: Final answer
    x = 280.10

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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.