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Finding the Fourth Proportional to 357.30, 535.70 and 151.58

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Solution

The fourth proportional to 357.30, 535.70 and 151.58 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.30 : 535.70 = 151.58 : x
  2. Step 2: Convert to fraction form
    357.30/535.70 = 151.58/x
  3. Step 3: Cross multiply
    357.30x = 535.70 × 151.58
  4. Step 4: Simplify right side
    357.30x = 81,203.12
  5. Step 5: Solve for x
    x = 81,203.12/357.30
  6. Step 6: Final answer
    x = 227.27

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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.