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Finding the Fourth Proportional to 277.85, 417.59 and 133.67

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Solution

The fourth proportional to 277.85, 417.59 and 133.67 is: 200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.85 : 417.59 = 133.67 : x
  2. Step 2: Convert to fraction form
    277.85/417.59 = 133.67/x
  3. Step 3: Cross multiply
    277.85x = 417.59 × 133.67
  4. Step 4: Simplify right side
    277.85x = 55,820.13
  5. Step 5: Solve for x
    x = 55,820.13/277.85
  6. Step 6: Final answer
    x = 200.90

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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.