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Finding the Fourth Proportional to 351.42, 526.78 and 146.13

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Solution

The fourth proportional to 351.42, 526.78 and 146.13 is: 219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.42 : 526.78 = 146.13 : x
  2. Step 2: Convert to fraction form
    351.42/526.78 = 146.13/x
  3. Step 3: Cross multiply
    351.42x = 526.78 × 146.13
  4. Step 4: Simplify right side
    351.42x = 76,978.36
  5. Step 5: Solve for x
    x = 76,978.36/351.42
  6. Step 6: Final answer
    x = 219.05

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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.