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Finding the Fourth Proportional to 280.16, 386.28 and 192.72

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Solution

The fourth proportional to 280.16, 386.28 and 192.72 is: 265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.16 : 386.28 = 192.72 : x
  2. Step 2: Convert to fraction form
    280.16/386.28 = 192.72/x
  3. Step 3: Cross multiply
    280.16x = 386.28 × 192.72
  4. Step 4: Simplify right side
    280.16x = 74,443.88
  5. Step 5: Solve for x
    x = 74,443.88/280.16
  6. Step 6: Final answer
    x = 265.72

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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.