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Finding the Fourth Proportional to 301.56, 416.08 and 183.59

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Solution

The fourth proportional to 301.56, 416.08 and 183.59 is: 253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.56 : 416.08 = 183.59 : x
  2. Step 2: Convert to fraction form
    301.56/416.08 = 183.59/x
  3. Step 3: Cross multiply
    301.56x = 416.08 × 183.59
  4. Step 4: Simplify right side
    301.56x = 76,386.80
  5. Step 5: Solve for x
    x = 76,386.80/301.56
  6. Step 6: Final answer
    x = 253.31

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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.