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Finding the Fourth Proportional to 165.76, 228.81 and 151.18

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Solution

The fourth proportional to 165.76, 228.81 and 151.18 is: 208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.76 : 228.81 = 151.18 : x
  2. Step 2: Convert to fraction form
    165.76/228.81 = 151.18/x
  3. Step 3: Cross multiply
    165.76x = 228.81 × 151.18
  4. Step 4: Simplify right side
    165.76x = 34,591.50
  5. Step 5: Solve for x
    x = 34,591.50/165.76
  6. Step 6: Final answer
    x = 208.68

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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.