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Finding the Fourth Proportional to 380.42, 570.86 and 164.01

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Solution

The fourth proportional to 380.42, 570.86 and 164.01 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.42 : 570.86 = 164.01 : x
  2. Step 2: Convert to fraction form
    380.42/570.86 = 164.01/x
  3. Step 3: Cross multiply
    380.42x = 570.86 × 164.01
  4. Step 4: Simplify right side
    380.42x = 93,626.75
  5. Step 5: Solve for x
    x = 93,626.75/380.42
  6. Step 6: Final answer
    x = 246.11

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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.