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Finding the Fourth Proportional to 183.88, 275.57 and 101.49

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Solution

The fourth proportional to 183.88, 275.57 and 101.49 is: 152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.88 : 275.57 = 101.49 : x
  2. Step 2: Convert to fraction form
    183.88/275.57 = 101.49/x
  3. Step 3: Cross multiply
    183.88x = 275.57 × 101.49
  4. Step 4: Simplify right side
    183.88x = 27,967.85
  5. Step 5: Solve for x
    x = 27,967.85/183.88
  6. Step 6: Final answer
    x = 152.10

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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.