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Finding the Fourth Proportional to 313.11, 432.20 and 202.59

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Solution

The fourth proportional to 313.11, 432.20 and 202.59 is: 279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.11 : 432.20 = 202.59 : x
  2. Step 2: Convert to fraction form
    313.11/432.20 = 202.59/x
  3. Step 3: Cross multiply
    313.11x = 432.20 × 202.59
  4. Step 4: Simplify right side
    313.11x = 87,558.39
  5. Step 5: Solve for x
    x = 87,558.39/313.11
  6. Step 6: Final answer
    x = 279.64

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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.