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Finding the Fourth Proportional to 216.05, 297.95 and 142.25

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Solution

The fourth proportional to 216.05, 297.95 and 142.25 is: 196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.05 : 297.95 = 142.25 : x
  2. Step 2: Convert to fraction form
    216.05/297.95 = 142.25/x
  3. Step 3: Cross multiply
    216.05x = 297.95 × 142.25
  4. Step 4: Simplify right side
    216.05x = 42,381.19
  5. Step 5: Solve for x
    x = 42,381.19/216.05
  6. Step 6: Final answer
    x = 196.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.