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Finding the Fourth Proportional to 571.10, 856.32 and 181.02

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Solution

The fourth proportional to 571.10, 856.32 and 181.02 is: 271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.10 : 856.32 = 181.02 : x
  2. Step 2: Convert to fraction form
    571.10/856.32 = 181.02/x
  3. Step 3: Cross multiply
    571.10x = 856.32 × 181.02
  4. Step 4: Simplify right side
    571.10x = 155,010.14
  5. Step 5: Solve for x
    x = 155,010.14/571.10
  6. Step 6: Final answer
    x = 271.43

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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.