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Finding the Fourth Proportional to 184.90, 253.72 and 168.46

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Solution

The fourth proportional to 184.90, 253.72 and 168.46 is: 231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.90 : 253.72 = 168.46 : x
  2. Step 2: Convert to fraction form
    184.90/253.72 = 168.46/x
  3. Step 3: Cross multiply
    184.90x = 253.72 × 168.46
  4. Step 4: Simplify right side
    184.90x = 42,741.67
  5. Step 5: Solve for x
    x = 42,741.67/184.90
  6. Step 6: Final answer
    x = 231.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.