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Finding the Fourth Proportional to 302.76, 417.76 and 192.26

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Solution

The fourth proportional to 302.76, 417.76 and 192.26 is: 265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.76 : 417.76 = 192.26 : x
  2. Step 2: Convert to fraction form
    302.76/417.76 = 192.26/x
  3. Step 3: Cross multiply
    302.76x = 417.76 × 192.26
  4. Step 4: Simplify right side
    302.76x = 80,318.54
  5. Step 5: Solve for x
    x = 80,318.54/302.76
  6. Step 6: Final answer
    x = 265.29

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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.