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Finding the Fourth Proportional to 351.53, 526.61 and 214.16

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Solution

The fourth proportional to 351.53, 526.61 and 214.16 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.53 : 526.61 = 214.16 : x
  2. Step 2: Convert to fraction form
    351.53/526.61 = 214.16/x
  3. Step 3: Cross multiply
    351.53x = 526.61 × 214.16
  4. Step 4: Simplify right side
    351.53x = 112,780.65
  5. Step 5: Solve for x
    x = 112,780.65/351.53
  6. Step 6: Final answer
    x = 320.83

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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.