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Finding the Fourth Proportional to 262.89, 362.69 and 152.32

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Solution

The fourth proportional to 262.89, 362.69 and 152.32 is: 210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.89 : 362.69 = 152.32 : x
  2. Step 2: Convert to fraction form
    262.89/362.69 = 152.32/x
  3. Step 3: Cross multiply
    262.89x = 362.69 × 152.32
  4. Step 4: Simplify right side
    262.89x = 55,244.18
  5. Step 5: Solve for x
    x = 55,244.18/262.89
  6. Step 6: Final answer
    x = 210.15

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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.