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Finding the Fourth Proportional to 368.11, 552.25 and 108.10

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Solution

The fourth proportional to 368.11, 552.25 and 108.10 is: 162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.11 : 552.25 = 108.10 : x
  2. Step 2: Convert to fraction form
    368.11/552.25 = 108.10/x
  3. Step 3: Cross multiply
    368.11x = 552.25 × 108.10
  4. Step 4: Simplify right side
    368.11x = 59,695.46
  5. Step 5: Solve for x
    x = 59,695.46/368.11
  6. Step 6: Final answer
    x = 162.17

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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.