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Finding the Fourth Proportional to 180.98, 270.71 and 152.81

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Solution

The fourth proportional to 180.98, 270.71 and 152.81 is: 228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 270.71 = 152.81 : x
  2. Step 2: Convert to fraction form
    180.98/270.71 = 152.81/x
  3. Step 3: Cross multiply
    180.98x = 270.71 × 152.81
  4. Step 4: Simplify right side
    180.98x = 41,367.20
  5. Step 5: Solve for x
    x = 41,367.20/180.98
  6. Step 6: Final answer
    x = 228.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.