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Finding the Fourth Proportional to 313.46, 432.54 and 203.03

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Solution

The fourth proportional to 313.46, 432.54 and 203.03 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.46 : 432.54 = 203.03 : x
  2. Step 2: Convert to fraction form
    313.46/432.54 = 203.03/x
  3. Step 3: Cross multiply
    313.46x = 432.54 × 203.03
  4. Step 4: Simplify right side
    313.46x = 87,816.43
  5. Step 5: Solve for x
    x = 87,816.43/313.46
  6. Step 6: Final answer
    x = 280.16

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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.