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Finding the Fourth Proportional to 253.30, 379.60 and 184.98

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Solution

The fourth proportional to 253.30, 379.60 and 184.98 is: 277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.30 : 379.60 = 184.98 : x
  2. Step 2: Convert to fraction form
    253.30/379.60 = 184.98/x
  3. Step 3: Cross multiply
    253.30x = 379.60 × 184.98
  4. Step 4: Simplify right side
    253.30x = 70,218.41
  5. Step 5: Solve for x
    x = 70,218.41/253.30
  6. Step 6: Final answer
    x = 277.21

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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.