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Finding the Fourth Proportional to 302.48, 417.48 and 192.08

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Solution

The fourth proportional to 302.48, 417.48 and 192.08 is: 265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.48 : 417.48 = 192.08 : x
  2. Step 2: Convert to fraction form
    302.48/417.48 = 192.08/x
  3. Step 3: Cross multiply
    302.48x = 417.48 × 192.08
  4. Step 4: Simplify right side
    302.48x = 80,189.56
  5. Step 5: Solve for x
    x = 80,189.56/302.48
  6. Step 6: Final answer
    x = 265.11

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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.