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Finding the Fourth Proportional to 206.42, 309.53 and 103.75

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Solution

The fourth proportional to 206.42, 309.53 and 103.75 is: 155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.42 : 309.53 = 103.75 : x
  2. Step 2: Convert to fraction form
    206.42/309.53 = 103.75/x
  3. Step 3: Cross multiply
    206.42x = 309.53 × 103.75
  4. Step 4: Simplify right side
    206.42x = 32,113.22
  5. Step 5: Solve for x
    x = 32,113.22/206.42
  6. Step 6: Final answer
    x = 155.58

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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.