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Finding the Fourth Proportional to 228.90, 343.26 and 180.84

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Solution

The fourth proportional to 228.90, 343.26 and 180.84 is: 271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.90 : 343.26 = 180.84 : x
  2. Step 2: Convert to fraction form
    228.90/343.26 = 180.84/x
  3. Step 3: Cross multiply
    228.90x = 343.26 × 180.84
  4. Step 4: Simplify right side
    228.90x = 62,075.14
  5. Step 5: Solve for x
    x = 62,075.14/228.90
  6. Step 6: Final answer
    x = 271.19

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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.