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Finding the Fourth Proportional to 317.06, 437.25 and 206.50

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Solution

The fourth proportional to 317.06, 437.25 and 206.50 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.06 : 437.25 = 206.50 : x
  2. Step 2: Convert to fraction form
    317.06/437.25 = 206.50/x
  3. Step 3: Cross multiply
    317.06x = 437.25 × 206.50
  4. Step 4: Simplify right side
    317.06x = 90,291.46
  5. Step 5: Solve for x
    x = 90,291.46/317.06
  6. Step 6: Final answer
    x = 284.77

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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.