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Finding the Fourth Proportional to 206.10, 307.38 and 202.92

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Solution

The fourth proportional to 206.10, 307.38 and 202.92 is: 302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 307.38 = 202.92 : x
  2. Step 2: Convert to fraction form
    206.10/307.38 = 202.92/x
  3. Step 3: Cross multiply
    206.10x = 307.38 × 202.92
  4. Step 4: Simplify right side
    206.10x = 62,374.83
  5. Step 5: Solve for x
    x = 62,374.83/206.10
  6. Step 6: Final answer
    x = 302.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.