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Finding the Fourth Proportional to 350.56, 526.17 and 177.35

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Solution

The fourth proportional to 350.56, 526.17 and 177.35 is: 266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.56 : 526.17 = 177.35 : x
  2. Step 2: Convert to fraction form
    350.56/526.17 = 177.35/x
  3. Step 3: Cross multiply
    350.56x = 526.17 × 177.35
  4. Step 4: Simplify right side
    350.56x = 93,318.56
  5. Step 5: Solve for x
    x = 93,318.56/350.56
  6. Step 6: Final answer
    x = 266.20

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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.