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Finding the Fourth Proportional to 351.07, 525.86 and 177.46

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Solution

The fourth proportional to 351.07, 525.86 and 177.46 is: 265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.07 : 525.86 = 177.46 : x
  2. Step 2: Convert to fraction form
    351.07/525.86 = 177.46/x
  3. Step 3: Cross multiply
    351.07x = 525.86 × 177.46
  4. Step 4: Simplify right side
    351.07x = 93,317.58
  5. Step 5: Solve for x
    x = 93,317.58/351.07
  6. Step 6: Final answer
    x = 265.81

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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.