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Finding the Fourth Proportional to 384.30, 575.91 and 164.66

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Solution

The fourth proportional to 384.30, 575.91 and 164.66 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.30 : 575.91 = 164.66 : x
  2. Step 2: Convert to fraction form
    384.30/575.91 = 164.66/x
  3. Step 3: Cross multiply
    384.30x = 575.91 × 164.66
  4. Step 4: Simplify right side
    384.30x = 94,826.46
  5. Step 5: Solve for x
    x = 94,826.46/384.30
  6. Step 6: Final answer
    x = 246.75

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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.