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Finding the Fourth Proportional to 302.16, 416.64 and 224.04

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Solution

The fourth proportional to 302.16, 416.64 and 224.04 is: 308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.16 : 416.64 = 224.04 : x
  2. Step 2: Convert to fraction form
    302.16/416.64 = 224.04/x
  3. Step 3: Cross multiply
    302.16x = 416.64 × 224.04
  4. Step 4: Simplify right side
    302.16x = 93,344.03
  5. Step 5: Solve for x
    x = 93,344.03/302.16
  6. Step 6: Final answer
    x = 308.92

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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.