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Finding the Fourth Proportional to 350.56, 526.02 and 177.13

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Solution

The fourth proportional to 350.56, 526.02 and 177.13 is: 265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.56 : 526.02 = 177.13 : x
  2. Step 2: Convert to fraction form
    350.56/526.02 = 177.13/x
  3. Step 3: Cross multiply
    350.56x = 526.02 × 177.13
  4. Step 4: Simplify right side
    350.56x = 93,173.92
  5. Step 5: Solve for x
    x = 93,173.92/350.56
  6. Step 6: Final answer
    x = 265.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.