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Finding the Fourth Proportional to 352.08, 485.80 and 214.16

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Solution

The fourth proportional to 352.08, 485.80 and 214.16 is: 295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.08 : 485.80 = 214.16 : x
  2. Step 2: Convert to fraction form
    352.08/485.80 = 214.16/x
  3. Step 3: Cross multiply
    352.08x = 485.80 × 214.16
  4. Step 4: Simplify right side
    352.08x = 104,038.93
  5. Step 5: Solve for x
    x = 104,038.93/352.08
  6. Step 6: Final answer
    x = 295.50

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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.