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Finding the Fourth Proportional to 302.56, 417.46 and 184.59

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Solution

The fourth proportional to 302.56, 417.46 and 184.59 is: 254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.56 : 417.46 = 184.59 : x
  2. Step 2: Convert to fraction form
    302.56/417.46 = 184.59/x
  3. Step 3: Cross multiply
    302.56x = 417.46 × 184.59
  4. Step 4: Simplify right side
    302.56x = 77,058.94
  5. Step 5: Solve for x
    x = 77,058.94/302.56
  6. Step 6: Final answer
    x = 254.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.