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Finding the Fourth Proportional to 377.12, 565.80 and 206

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Solution

The fourth proportional to 377.12, 565.80 and 206 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.12 : 565.80 = 206 : x
  2. Step 2: Convert to fraction form
    377.12/565.80 = 206/x
  3. Step 3: Cross multiply
    377.12x = 565.80 × 206
  4. Step 4: Simplify right side
    377.12x = 116,554.80
  5. Step 5: Solve for x
    x = 116,554.80/377.12
  6. Step 6: Final answer
    x = 309.07

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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.