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Finding the Fourth Proportional to 301.82, 416.42 and 177.53

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Solution

The fourth proportional to 301.82, 416.42 and 177.53 is: 244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.82 : 416.42 = 177.53 : x
  2. Step 2: Convert to fraction form
    301.82/416.42 = 177.53/x
  3. Step 3: Cross multiply
    301.82x = 416.42 × 177.53
  4. Step 4: Simplify right side
    301.82x = 73,925.85
  5. Step 5: Solve for x
    x = 73,925.85/301.82
  6. Step 6: Final answer
    x = 244.93

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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.