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Finding the Fourth Proportional to 570.92, 856.44 and 160.06

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Solution

The fourth proportional to 570.92, 856.44 and 160.06 is: 240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.92 : 856.44 = 160.06 : x
  2. Step 2: Convert to fraction form
    570.92/856.44 = 160.06/x
  3. Step 3: Cross multiply
    570.92x = 856.44 × 160.06
  4. Step 4: Simplify right side
    570.92x = 137,080.18
  5. Step 5: Solve for x
    x = 137,080.18/570.92
  6. Step 6: Final answer
    x = 240.10

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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.