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Finding the Fourth Proportional to 181.65, 271.32 and 156.05

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Solution

The fourth proportional to 181.65, 271.32 and 156.05 is: 233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.65 : 271.32 = 156.05 : x
  2. Step 2: Convert to fraction form
    181.65/271.32 = 156.05/x
  3. Step 3: Cross multiply
    181.65x = 271.32 × 156.05
  4. Step 4: Simplify right side
    181.65x = 42,338.13
  5. Step 5: Solve for x
    x = 42,338.13/181.65
  6. Step 6: Final answer
    x = 233.08

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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.