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Finding the Fourth Proportional to 184.90, 278.60 and 153.11

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Solution

The fourth proportional to 184.90, 278.60 and 153.11 is: 230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.90 : 278.60 = 153.11 : x
  2. Step 2: Convert to fraction form
    184.90/278.60 = 153.11/x
  3. Step 3: Cross multiply
    184.90x = 278.60 × 153.11
  4. Step 4: Simplify right side
    184.90x = 42,655.05
  5. Step 5: Solve for x
    x = 42,655.05/184.90
  6. Step 6: Final answer
    x = 230.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.