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Finding the Fourth Proportional to 570.69, 856.01 and 159.86

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Solution

The fourth proportional to 570.69, 856.01 and 159.86 is: 239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.69 : 856.01 = 159.86 : x
  2. Step 2: Convert to fraction form
    570.69/856.01 = 159.86/x
  3. Step 3: Cross multiply
    570.69x = 856.01 × 159.86
  4. Step 4: Simplify right side
    570.69x = 136,836.68
  5. Step 5: Solve for x
    x = 136,836.68/570.69
  6. Step 6: Final answer
    x = 239.77

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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.