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Finding the Fourth Proportional to 312.02, 430.62 and 194.01

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Solution

The fourth proportional to 312.02, 430.62 and 194.01 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.02 : 430.62 = 194.01 : x
  2. Step 2: Convert to fraction form
    312.02/430.62 = 194.01/x
  3. Step 3: Cross multiply
    312.02x = 430.62 × 194.01
  4. Step 4: Simplify right side
    312.02x = 83,545.44
  5. Step 5: Solve for x
    x = 83,545.44/312.02
  6. Step 6: Final answer
    x = 267.76

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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.