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Finding the Fourth Proportional to 351.16, 526.98 and 229.48

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Solution

The fourth proportional to 351.16, 526.98 and 229.48 is: 344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.16 : 526.98 = 229.48 : x
  2. Step 2: Convert to fraction form
    351.16/526.98 = 229.48/x
  3. Step 3: Cross multiply
    351.16x = 526.98 × 229.48
  4. Step 4: Simplify right side
    351.16x = 120,931.37
  5. Step 5: Solve for x
    x = 120,931.37/351.16
  6. Step 6: Final answer
    x = 344.38

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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.