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Finding the Fourth Proportional to 352.16, 526.84 and 230.56

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Solution

The fourth proportional to 352.16, 526.84 and 230.56 is: 344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.16 : 526.84 = 230.56 : x
  2. Step 2: Convert to fraction form
    352.16/526.84 = 230.56/x
  3. Step 3: Cross multiply
    352.16x = 526.84 × 230.56
  4. Step 4: Simplify right side
    352.16x = 121,468.23
  5. Step 5: Solve for x
    x = 121,468.23/352.16
  6. Step 6: Final answer
    x = 344.92

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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.