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Finding the Fourth Proportional to 207.40, 286.03 and 137.53

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Solution

The fourth proportional to 207.40, 286.03 and 137.53 is: 189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 286.03 = 137.53 : x
  2. Step 2: Convert to fraction form
    207.40/286.03 = 137.53/x
  3. Step 3: Cross multiply
    207.40x = 286.03 × 137.53
  4. Step 4: Simplify right side
    207.40x = 39,337.71
  5. Step 5: Solve for x
    x = 39,337.71/207.40
  6. Step 6: Final answer
    x = 189.67

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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.