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Finding the Fourth Proportional to 262, 360.75 and 234.28

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Solution

The fourth proportional to 262, 360.75 and 234.28 is: 322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262 : 360.75 = 234.28 : x
  2. Step 2: Convert to fraction form
    262/360.75 = 234.28/x
  3. Step 3: Cross multiply
    262x = 360.75 × 234.28
  4. Step 4: Simplify right side
    262x = 84,516.51
  5. Step 5: Solve for x
    x = 84,516.51/262
  6. Step 6: Final answer
    x = 322.58

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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.