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Finding the Fourth Proportional to 350.82, 526.50 and 188.46

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Solution

The fourth proportional to 350.82, 526.50 and 188.46 is: 282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.82 : 526.50 = 188.46 : x
  2. Step 2: Convert to fraction form
    350.82/526.50 = 188.46/x
  3. Step 3: Cross multiply
    350.82x = 526.50 × 188.46
  4. Step 4: Simplify right side
    350.82x = 99,224.19
  5. Step 5: Solve for x
    x = 99,224.19/350.82
  6. Step 6: Final answer
    x = 282.84

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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.