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Finding the Fourth Proportional to 262.93, 393.64 and 176.06

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Solution

The fourth proportional to 262.93, 393.64 and 176.06 is: 263.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.93 : 393.64 = 176.06 : x
  2. Step 2: Convert to fraction form
    262.93/393.64 = 176.06/x
  3. Step 3: Cross multiply
    262.93x = 393.64 × 176.06
  4. Step 4: Simplify right side
    262.93x = 69,304.26
  5. Step 5: Solve for x
    x = 69,304.26/262.93
  6. Step 6: Final answer
    x = 263.58

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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.