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Finding the Fourth Proportional to 181.61, 272.27 and 90.23

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Solution

The fourth proportional to 181.61, 272.27 and 90.23 is: 135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.61 : 272.27 = 90.23 : x
  2. Step 2: Convert to fraction form
    181.61/272.27 = 90.23/x
  3. Step 3: Cross multiply
    181.61x = 272.27 × 90.23
  4. Step 4: Simplify right side
    181.61x = 24,567.32
  5. Step 5: Solve for x
    x = 24,567.32/181.61
  6. Step 6: Final answer
    x = 135.28

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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.