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Finding the Fourth Proportional to 253.77, 350.16 and 148.83

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Solution

The fourth proportional to 253.77, 350.16 and 148.83 is: 205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.77 : 350.16 = 148.83 : x
  2. Step 2: Convert to fraction form
    253.77/350.16 = 148.83/x
  3. Step 3: Cross multiply
    253.77x = 350.16 × 148.83
  4. Step 4: Simplify right side
    253.77x = 52,114.31
  5. Step 5: Solve for x
    x = 52,114.31/253.77
  6. Step 6: Final answer
    x = 205.36

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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.