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Finding the Fourth Proportional to 175, 262.38 and 151

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Solution

The fourth proportional to 175, 262.38 and 151 is: 226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175 : 262.38 = 151 : x
  2. Step 2: Convert to fraction form
    175/262.38 = 151/x
  3. Step 3: Cross multiply
    175x = 262.38 × 151
  4. Step 4: Simplify right side
    175x = 39,619.38
  5. Step 5: Solve for x
    x = 39,619.38/175
  6. Step 6: Final answer
    x = 226.40

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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.