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Finding the Fourth Proportional to 350.87, 526.00 and 177.39

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Solution

The fourth proportional to 350.87, 526.00 and 177.39 is: 265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.87 : 526.00 = 177.39 : x
  2. Step 2: Convert to fraction form
    350.87/526.00 = 177.39/x
  3. Step 3: Cross multiply
    350.87x = 526.00 × 177.39
  4. Step 4: Simplify right side
    350.87x = 93,306.25
  5. Step 5: Solve for x
    x = 93,306.25/350.87
  6. Step 6: Final answer
    x = 265.93

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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.