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Finding the Fourth Proportional to 253.90, 350.16 and 184.42

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Solution

The fourth proportional to 253.90, 350.16 and 184.42 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.90 : 350.16 = 184.42 : x
  2. Step 2: Convert to fraction form
    253.90/350.16 = 184.42/x
  3. Step 3: Cross multiply
    253.90x = 350.16 × 184.42
  4. Step 4: Simplify right side
    253.90x = 64,576.51
  5. Step 5: Solve for x
    x = 64,576.51/253.90
  6. Step 6: Final answer
    x = 254.34

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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.