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Finding the Fourth Proportional to 312.35, 430.95 and 201.65

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Solution

The fourth proportional to 312.35, 430.95 and 201.65 is: 278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.35 : 430.95 = 201.65 : x
  2. Step 2: Convert to fraction form
    312.35/430.95 = 201.65/x
  3. Step 3: Cross multiply
    312.35x = 430.95 × 201.65
  4. Step 4: Simplify right side
    312.35x = 86,899.67
  5. Step 5: Solve for x
    x = 86,899.67/312.35
  6. Step 6: Final answer
    x = 278.22

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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.