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Finding the Fourth Proportional to 184.24, 275.82 and 135.40

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Solution

The fourth proportional to 184.24, 275.82 and 135.40 is: 202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.24 : 275.82 = 135.40 : x
  2. Step 2: Convert to fraction form
    184.24/275.82 = 135.40/x
  3. Step 3: Cross multiply
    184.24x = 275.82 × 135.40
  4. Step 4: Simplify right side
    184.24x = 37,346.03
  5. Step 5: Solve for x
    x = 37,346.03/184.24
  6. Step 6: Final answer
    x = 202.70

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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.