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Finding the Fourth Proportional to 261.99, 393.14 and 108.03

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Solution

The fourth proportional to 261.99, 393.14 and 108.03 is: 162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.99 : 393.14 = 108.03 : x
  2. Step 2: Convert to fraction form
    261.99/393.14 = 108.03/x
  3. Step 3: Cross multiply
    261.99x = 393.14 × 108.03
  4. Step 4: Simplify right side
    261.99x = 42,468.90
  5. Step 5: Solve for x
    x = 42,468.90/261.99
  6. Step 6: Final answer
    x = 162.10

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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.