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Finding the Fourth Proportional to 166.04, 228.93 and 136.43

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Solution

The fourth proportional to 166.04, 228.93 and 136.43 is: 188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.04 : 228.93 = 136.43 : x
  2. Step 2: Convert to fraction form
    166.04/228.93 = 136.43/x
  3. Step 3: Cross multiply
    166.04x = 228.93 × 136.43
  4. Step 4: Simplify right side
    166.04x = 31,232.92
  5. Step 5: Solve for x
    x = 31,232.92/166.04
  6. Step 6: Final answer
    x = 188.10

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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.