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Finding the Fourth Proportional to 220.11, 328.94 and 192.77

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Solution

The fourth proportional to 220.11, 328.94 and 192.77 is: 288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.11 : 328.94 = 192.77 : x
  2. Step 2: Convert to fraction form
    220.11/328.94 = 192.77/x
  3. Step 3: Cross multiply
    220.11x = 328.94 × 192.77
  4. Step 4: Simplify right side
    220.11x = 63,409.76
  5. Step 5: Solve for x
    x = 63,409.76/220.11
  6. Step 6: Final answer
    x = 288.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.