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Finding the Fourth Proportional to 207.36, 310.38 and 142.08

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Solution

The fourth proportional to 207.36, 310.38 and 142.08 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 310.38 = 142.08 : x
  2. Step 2: Convert to fraction form
    207.36/310.38 = 142.08/x
  3. Step 3: Cross multiply
    207.36x = 310.38 × 142.08
  4. Step 4: Simplify right side
    207.36x = 44,098.79
  5. Step 5: Solve for x
    x = 44,098.79/207.36
  6. Step 6: Final answer
    x = 212.67

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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.