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Finding the Fourth Proportional to 384.92, 531.18 and 210.26

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Solution

The fourth proportional to 384.92, 531.18 and 210.26 is: 290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.92 : 531.18 = 210.26 : x
  2. Step 2: Convert to fraction form
    384.92/531.18 = 210.26/x
  3. Step 3: Cross multiply
    384.92x = 531.18 × 210.26
  4. Step 4: Simplify right side
    384.92x = 111,687.23
  5. Step 5: Solve for x
    x = 111,687.23/384.92
  6. Step 6: Final answer
    x = 290.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.