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Finding the Fourth Proportional to 253.67, 350.16 and 187.16

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Solution

The fourth proportional to 253.67, 350.16 and 187.16 is: 258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.67 : 350.16 = 187.16 : x
  2. Step 2: Convert to fraction form
    253.67/350.16 = 187.16/x
  3. Step 3: Cross multiply
    253.67x = 350.16 × 187.16
  4. Step 4: Simplify right side
    253.67x = 65,535.46
  5. Step 5: Solve for x
    x = 65,535.46/253.67
  6. Step 6: Final answer
    x = 258.35

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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.