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Finding the Fourth Proportional to 302.13, 416.94 and 177.75

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Solution

The fourth proportional to 302.13, 416.94 and 177.75 is: 245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 416.94 = 177.75 : x
  2. Step 2: Convert to fraction form
    302.13/416.94 = 177.75/x
  3. Step 3: Cross multiply
    302.13x = 416.94 × 177.75
  4. Step 4: Simplify right side
    302.13x = 74,111.09
  5. Step 5: Solve for x
    x = 74,111.09/302.13
  6. Step 6: Final answer
    x = 245.30

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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.