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Finding the Fourth Proportional to 313.06, 432.10 and 202.82

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Solution

The fourth proportional to 313.06, 432.10 and 202.82 is: 279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.06 : 432.10 = 202.82 : x
  2. Step 2: Convert to fraction form
    313.06/432.10 = 202.82/x
  3. Step 3: Cross multiply
    313.06x = 432.10 × 202.82
  4. Step 4: Simplify right side
    313.06x = 87,638.52
  5. Step 5: Solve for x
    x = 87,638.52/313.06
  6. Step 6: Final answer
    x = 279.94

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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.