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Finding the Fourth Proportional to 283.10, 423.50 and 209.93

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Solution

The fourth proportional to 283.10, 423.50 and 209.93 is: 314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 423.50 = 209.93 : x
  2. Step 2: Convert to fraction form
    283.10/423.50 = 209.93/x
  3. Step 3: Cross multiply
    283.10x = 423.50 × 209.93
  4. Step 4: Simplify right side
    283.10x = 88,902.19
  5. Step 5: Solve for x
    x = 88,902.19/283.10
  6. Step 6: Final answer
    x = 314.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.