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Finding the Fourth Proportional to 167.60, 228.32 and 167.60

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Solution

The fourth proportional to 167.60, 228.32 and 167.60 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.60 : 228.32 = 167.60 : x
  2. Step 2: Convert to fraction form
    167.60/228.32 = 167.60/x
  3. Step 3: Cross multiply
    167.60x = 228.32 × 167.60
  4. Step 4: Simplify right side
    167.60x = 38,266.43
  5. Step 5: Solve for x
    x = 38,266.43/167.60
  6. Step 6: Final answer
    x = 228.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.