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Finding the Fourth Proportional to 313.17, 432.05 and 202.62

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Solution

The fourth proportional to 313.17, 432.05 and 202.62 is: 279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.17 : 432.05 = 202.62 : x
  2. Step 2: Convert to fraction form
    313.17/432.05 = 202.62/x
  3. Step 3: Cross multiply
    313.17x = 432.05 × 202.62
  4. Step 4: Simplify right side
    313.17x = 87,541.34
  5. Step 5: Solve for x
    x = 87,541.34/313.17
  6. Step 6: Final answer
    x = 279.54

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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.