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Finding the Fourth Proportional to 181.64, 273.54 and 152.94

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Solution

The fourth proportional to 181.64, 273.54 and 152.94 is: 230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.64 : 273.54 = 152.94 : x
  2. Step 2: Convert to fraction form
    181.64/273.54 = 152.94/x
  3. Step 3: Cross multiply
    181.64x = 273.54 × 152.94
  4. Step 4: Simplify right side
    181.64x = 41,834.62
  5. Step 5: Solve for x
    x = 41,834.62/181.64
  6. Step 6: Final answer
    x = 230.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.