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Finding the Fourth Proportional to 352.16, 526.93 and 212.84

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Solution

The fourth proportional to 352.16, 526.93 and 212.84 is: 318.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.16 : 526.93 = 212.84 : x
  2. Step 2: Convert to fraction form
    352.16/526.93 = 212.84/x
  3. Step 3: Cross multiply
    352.16x = 526.93 × 212.84
  4. Step 4: Simplify right side
    352.16x = 112,152.57
  5. Step 5: Solve for x
    x = 112,152.57/352.16
  6. Step 6: Final answer
    x = 318.47

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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.