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Finding the Fourth Proportional to 183.16, 274.50 and 102.04

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Solution

The fourth proportional to 183.16, 274.50 and 102.04 is: 152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.16 : 274.50 = 102.04 : x
  2. Step 2: Convert to fraction form
    183.16/274.50 = 102.04/x
  3. Step 3: Cross multiply
    183.16x = 274.50 × 102.04
  4. Step 4: Simplify right side
    183.16x = 28,009.98
  5. Step 5: Solve for x
    x = 28,009.98/183.16
  6. Step 6: Final answer
    x = 152.93

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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.