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Finding the Fourth Proportional to 351.10, 526.39 and 177.69

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Solution

The fourth proportional to 351.10, 526.39 and 177.69 is: 266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.10 : 526.39 = 177.69 : x
  2. Step 2: Convert to fraction form
    351.10/526.39 = 177.69/x
  3. Step 3: Cross multiply
    351.10x = 526.39 × 177.69
  4. Step 4: Simplify right side
    351.10x = 93,531.61
  5. Step 5: Solve for x
    x = 93,531.61/351.10
  6. Step 6: Final answer
    x = 266.40

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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.