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Finding the Fourth Proportional to 184.59, 275.56 and 154.22

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Solution

The fourth proportional to 184.59, 275.56 and 154.22 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.59 : 275.56 = 154.22 : x
  2. Step 2: Convert to fraction form
    184.59/275.56 = 154.22/x
  3. Step 3: Cross multiply
    184.59x = 275.56 × 154.22
  4. Step 4: Simplify right side
    184.59x = 42,495.10
  5. Step 5: Solve for x
    x = 42,495.10/184.59
  6. Step 6: Final answer
    x = 230.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.