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Finding the Fourth Proportional to 380.56, 525.16 and 212.50

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Solution

The fourth proportional to 380.56, 525.16 and 212.50 is: 293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.56 : 525.16 = 212.50 : x
  2. Step 2: Convert to fraction form
    380.56/525.16 = 212.50/x
  3. Step 3: Cross multiply
    380.56x = 525.16 × 212.50
  4. Step 4: Simplify right side
    380.56x = 111,596.50
  5. Step 5: Solve for x
    x = 111,596.50/380.56
  6. Step 6: Final answer
    x = 293.24

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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.