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Finding the Fourth Proportional to 350.75, 526.33 and 158.38

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Solution

The fourth proportional to 350.75, 526.33 and 158.38 is: 237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.75 : 526.33 = 158.38 : x
  2. Step 2: Convert to fraction form
    350.75/526.33 = 158.38/x
  3. Step 3: Cross multiply
    350.75x = 526.33 × 158.38
  4. Step 4: Simplify right side
    350.75x = 83,357.51
  5. Step 5: Solve for x
    x = 83,357.51/350.75
  6. Step 6: Final answer
    x = 237.66

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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.