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Finding the Fourth Proportional to 166.48, 228.71 and 149.22

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Solution

The fourth proportional to 166.48, 228.71 and 149.22 is: 205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.48 : 228.71 = 149.22 : x
  2. Step 2: Convert to fraction form
    166.48/228.71 = 149.22/x
  3. Step 3: Cross multiply
    166.48x = 228.71 × 149.22
  4. Step 4: Simplify right side
    166.48x = 34,128.11
  5. Step 5: Solve for x
    x = 34,128.11/166.48
  6. Step 6: Final answer
    x = 205.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.