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Finding the Fourth Proportional to 184.23, 253.41 and 159.75

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Solution

The fourth proportional to 184.23, 253.41 and 159.75 is: 219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.23 : 253.41 = 159.75 : x
  2. Step 2: Convert to fraction form
    184.23/253.41 = 159.75/x
  3. Step 3: Cross multiply
    184.23x = 253.41 × 159.75
  4. Step 4: Simplify right side
    184.23x = 40,482.25
  5. Step 5: Solve for x
    x = 40,482.25/184.23
  6. Step 6: Final answer
    x = 219.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.