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Finding the Fourth Proportional to 255.70, 352.86 and 152.20

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Solution

The fourth proportional to 255.70, 352.86 and 152.20 is: 210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.70 : 352.86 = 152.20 : x
  2. Step 2: Convert to fraction form
    255.70/352.86 = 152.20/x
  3. Step 3: Cross multiply
    255.70x = 352.86 × 152.20
  4. Step 4: Simplify right side
    255.70x = 53,705.29
  5. Step 5: Solve for x
    x = 53,705.29/255.70
  6. Step 6: Final answer
    x = 210.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.