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Finding the Fourth Proportional to 316.74, 437 and 206.10

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Solution

The fourth proportional to 316.74, 437 and 206.10 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.74 : 437 = 206.10 : x
  2. Step 2: Convert to fraction form
    316.74/437 = 206.10/x
  3. Step 3: Cross multiply
    316.74x = 437 × 206.10
  4. Step 4: Simplify right side
    316.74x = 90,065.70
  5. Step 5: Solve for x
    x = 90,065.70/316.74
  6. Step 6: Final answer
    x = 284.35

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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.