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Finding the Fourth Proportional to 302.35, 417.26 and 184.31

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Solution

The fourth proportional to 302.35, 417.26 and 184.31 is: 254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.35 : 417.26 = 184.31 : x
  2. Step 2: Convert to fraction form
    302.35/417.26 = 184.31/x
  3. Step 3: Cross multiply
    302.35x = 417.26 × 184.31
  4. Step 4: Simplify right side
    302.35x = 76,904.61
  5. Step 5: Solve for x
    x = 76,904.61/302.35
  6. Step 6: Final answer
    x = 254.36

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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.