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Finding the Fourth Proportional to 180.18, 268.97 and 152.85

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Solution

The fourth proportional to 180.18, 268.97 and 152.85 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.18 : 268.97 = 152.85 : x
  2. Step 2: Convert to fraction form
    180.18/268.97 = 152.85/x
  3. Step 3: Cross multiply
    180.18x = 268.97 × 152.85
  4. Step 4: Simplify right side
    180.18x = 41,112.45
  5. Step 5: Solve for x
    x = 41,112.45/180.18
  6. Step 6: Final answer
    x = 228.17

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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.