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Finding the Fourth Proportional to 262.90, 393.84 and 152.94

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Solution

The fourth proportional to 262.90, 393.84 and 152.94 is: 229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.90 : 393.84 = 152.94 : x
  2. Step 2: Convert to fraction form
    262.90/393.84 = 152.94/x
  3. Step 3: Cross multiply
    262.90x = 393.84 × 152.94
  4. Step 4: Simplify right side
    262.90x = 60,233.89
  5. Step 5: Solve for x
    x = 60,233.89/262.90
  6. Step 6: Final answer
    x = 229.11

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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.