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Finding the Fourth Proportional to 228.84, 344.02 and 181.32

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Solution

The fourth proportional to 228.84, 344.02 and 181.32 is: 272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.84 : 344.02 = 181.32 : x
  2. Step 2: Convert to fraction form
    228.84/344.02 = 181.32/x
  3. Step 3: Cross multiply
    228.84x = 344.02 × 181.32
  4. Step 4: Simplify right side
    228.84x = 62,377.71
  5. Step 5: Solve for x
    x = 62,377.71/228.84
  6. Step 6: Final answer
    x = 272.58

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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.