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Finding the Fourth Proportional to 262.16, 393.03 and 108.16

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Solution

The fourth proportional to 262.16, 393.03 and 108.16 is: 162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.16 : 393.03 = 108.16 : x
  2. Step 2: Convert to fraction form
    262.16/393.03 = 108.16/x
  3. Step 3: Cross multiply
    262.16x = 393.03 × 108.16
  4. Step 4: Simplify right side
    262.16x = 42,509.14
  5. Step 5: Solve for x
    x = 42,509.14/262.16
  6. Step 6: Final answer
    x = 162.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.