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Finding the Fourth Proportional to 166.59, 247.59 and 153.63

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Solution

The fourth proportional to 166.59, 247.59 and 153.63 is: 228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.59 : 247.59 = 153.63 : x
  2. Step 2: Convert to fraction form
    166.59/247.59 = 153.63/x
  3. Step 3: Cross multiply
    166.59x = 247.59 × 153.63
  4. Step 4: Simplify right side
    166.59x = 38,037.25
  5. Step 5: Solve for x
    x = 38,037.25/166.59
  6. Step 6: Final answer
    x = 228.33

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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.