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Finding the Fourth Proportional to 351.15, 526.34 and 177.48

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Solution

The fourth proportional to 351.15, 526.34 and 177.48 is: 266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.15 : 526.34 = 177.48 : x
  2. Step 2: Convert to fraction form
    351.15/526.34 = 177.48/x
  3. Step 3: Cross multiply
    351.15x = 526.34 × 177.48
  4. Step 4: Simplify right side
    351.15x = 93,413.94
  5. Step 5: Solve for x
    x = 93,413.94/351.15
  6. Step 6: Final answer
    x = 266.02

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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.