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Finding the Fourth Proportional to 302.16, 416.96 and 190.15

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Solution

The fourth proportional to 302.16, 416.96 and 190.15 is: 262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.16 : 416.96 = 190.15 : x
  2. Step 2: Convert to fraction form
    302.16/416.96 = 190.15/x
  3. Step 3: Cross multiply
    302.16x = 416.96 × 190.15
  4. Step 4: Simplify right side
    302.16x = 79,284.38
  5. Step 5: Solve for x
    x = 79,284.38/302.16
  6. Step 6: Final answer
    x = 262.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.