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Finding the Fourth Proportional to 302.23, 417.09 and 177.89

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Solution

The fourth proportional to 302.23, 417.09 and 177.89 is: 245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.23 : 417.09 = 177.89 : x
  2. Step 2: Convert to fraction form
    302.23/417.09 = 177.89/x
  3. Step 3: Cross multiply
    302.23x = 417.09 × 177.89
  4. Step 4: Simplify right side
    302.23x = 74,196.14
  5. Step 5: Solve for x
    x = 74,196.14/302.23
  6. Step 6: Final answer
    x = 245.50

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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.