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Finding the Fourth Proportional to 262.83, 362.58 and 152.28

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Solution

The fourth proportional to 262.83, 362.58 and 152.28 is: 210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.83 : 362.58 = 152.28 : x
  2. Step 2: Convert to fraction form
    262.83/362.58 = 152.28/x
  3. Step 3: Cross multiply
    262.83x = 362.58 × 152.28
  4. Step 4: Simplify right side
    262.83x = 55,213.68
  5. Step 5: Solve for x
    x = 55,213.68/262.83
  6. Step 6: Final answer
    x = 210.07

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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.