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Finding the Fourth Proportional to 183.66, 275.48 and 102.32

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Solution

The fourth proportional to 183.66, 275.48 and 102.32 is: 153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.66 : 275.48 = 102.32 : x
  2. Step 2: Convert to fraction form
    183.66/275.48 = 102.32/x
  3. Step 3: Cross multiply
    183.66x = 275.48 × 102.32
  4. Step 4: Simplify right side
    183.66x = 28,187.11
  5. Step 5: Solve for x
    x = 28,187.11/183.66
  6. Step 6: Final answer
    x = 153.47

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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.