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Finding the Fourth Proportional to 253.82, 350.30 and 184.10

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Solution

The fourth proportional to 253.82, 350.30 and 184.10 is: 254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.82 : 350.30 = 184.10 : x
  2. Step 2: Convert to fraction form
    253.82/350.30 = 184.10/x
  3. Step 3: Cross multiply
    253.82x = 350.30 × 184.10
  4. Step 4: Simplify right side
    253.82x = 64,490.23
  5. Step 5: Solve for x
    x = 64,490.23/253.82
  6. Step 6: Final answer
    x = 254.08

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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.