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Finding the Fourth Proportional to 314.10, 433.16 and 203.52

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Solution

The fourth proportional to 314.10, 433.16 and 203.52 is: 280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 433.16 = 203.52 : x
  2. Step 2: Convert to fraction form
    314.10/433.16 = 203.52/x
  3. Step 3: Cross multiply
    314.10x = 433.16 × 203.52
  4. Step 4: Simplify right side
    314.10x = 88,156.72
  5. Step 5: Solve for x
    x = 88,156.72/314.10
  6. Step 6: Final answer
    x = 280.66

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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.