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Finding the Fourth Proportional to 390.44, 585.66 and 146.84

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Solution

The fourth proportional to 390.44, 585.66 and 146.84 is: 220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.44 : 585.66 = 146.84 : x
  2. Step 2: Convert to fraction form
    390.44/585.66 = 146.84/x
  3. Step 3: Cross multiply
    390.44x = 585.66 × 146.84
  4. Step 4: Simplify right side
    390.44x = 85,998.31
  5. Step 5: Solve for x
    x = 85,998.31/390.44
  6. Step 6: Final answer
    x = 220.26

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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.