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Finding the Fourth Proportional to 181.35, 270.65 and 154.35

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Solution

The fourth proportional to 181.35, 270.65 and 154.35 is: 230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.35 : 270.65 = 154.35 : x
  2. Step 2: Convert to fraction form
    181.35/270.65 = 154.35/x
  3. Step 3: Cross multiply
    181.35x = 270.65 × 154.35
  4. Step 4: Simplify right side
    181.35x = 41,774.06
  5. Step 5: Solve for x
    x = 41,774.06/181.35
  6. Step 6: Final answer
    x = 230.35

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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.