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Finding the Fourth Proportional to 570.64, 856 and 159.80

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Solution

The fourth proportional to 570.64, 856 and 159.80 is: 239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.64 : 856 = 159.80 : x
  2. Step 2: Convert to fraction form
    570.64/856 = 159.80/x
  3. Step 3: Cross multiply
    570.64x = 856 × 159.80
  4. Step 4: Simplify right side
    570.64x = 136,788.80
  5. Step 5: Solve for x
    x = 136,788.80/570.64
  6. Step 6: Final answer
    x = 239.71

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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.