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Finding the Fourth Proportional to 384.07, 575.86 and 164.83

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Solution

The fourth proportional to 384.07, 575.86 and 164.83 is: 247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.07 : 575.86 = 164.83 : x
  2. Step 2: Convert to fraction form
    384.07/575.86 = 164.83/x
  3. Step 3: Cross multiply
    384.07x = 575.86 × 164.83
  4. Step 4: Simplify right side
    384.07x = 94,919.62
  5. Step 5: Solve for x
    x = 94,919.62/384.07
  6. Step 6: Final answer
    x = 247.14

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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.