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Finding the Fourth Proportional to 357.39, 535.73 and 152.01

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Solution

The fourth proportional to 357.39, 535.73 and 152.01 is: 227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.39 : 535.73 = 152.01 : x
  2. Step 2: Convert to fraction form
    357.39/535.73 = 152.01/x
  3. Step 3: Cross multiply
    357.39x = 535.73 × 152.01
  4. Step 4: Simplify right side
    357.39x = 81,436.32
  5. Step 5: Solve for x
    x = 81,436.32/357.39
  6. Step 6: Final answer
    x = 227.86

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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.