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Finding the Fourth Proportional to 200.91, 277.07 and 134.67

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Solution

The fourth proportional to 200.91, 277.07 and 134.67 is: 185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.91 : 277.07 = 134.67 : x
  2. Step 2: Convert to fraction form
    200.91/277.07 = 134.67/x
  3. Step 3: Cross multiply
    200.91x = 277.07 × 134.67
  4. Step 4: Simplify right side
    200.91x = 37,312.34
  5. Step 5: Solve for x
    x = 37,312.34/200.91
  6. Step 6: Final answer
    x = 185.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.