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Finding the Fourth Proportional to 183.83, 253.67 and 128.67

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Solution

The fourth proportional to 183.83, 253.67 and 128.67 is: 177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.83 : 253.67 = 128.67 : x
  2. Step 2: Convert to fraction form
    183.83/253.67 = 128.67/x
  3. Step 3: Cross multiply
    183.83x = 253.67 × 128.67
  4. Step 4: Simplify right side
    183.83x = 32,639.72
  5. Step 5: Solve for x
    x = 32,639.72/183.83
  6. Step 6: Final answer
    x = 177.55

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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.