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Finding the Fourth Proportional to 301.93, 416.61 and 177.59

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Solution

The fourth proportional to 301.93, 416.61 and 177.59 is: 245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.93 : 416.61 = 177.59 : x
  2. Step 2: Convert to fraction form
    301.93/416.61 = 177.59/x
  3. Step 3: Cross multiply
    301.93x = 416.61 × 177.59
  4. Step 4: Simplify right side
    301.93x = 73,986.81
  5. Step 5: Solve for x
    x = 73,986.81/301.93
  6. Step 6: Final answer
    x = 245.05

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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.