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Finding the Fourth Proportional to 301.72, 416.32 and 183.66

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Solution

The fourth proportional to 301.72, 416.32 and 183.66 is: 253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.72 : 416.32 = 183.66 : x
  2. Step 2: Convert to fraction form
    301.72/416.32 = 183.66/x
  3. Step 3: Cross multiply
    301.72x = 416.32 × 183.66
  4. Step 4: Simplify right side
    301.72x = 76,461.33
  5. Step 5: Solve for x
    x = 76,461.33/301.72
  6. Step 6: Final answer
    x = 253.42

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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.