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Finding the Fourth Proportional to 175.65, 246.45 and 175.65

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Solution

The fourth proportional to 175.65, 246.45 and 175.65 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.65 : 246.45 = 175.65 : x
  2. Step 2: Convert to fraction form
    175.65/246.45 = 175.65/x
  3. Step 3: Cross multiply
    175.65x = 246.45 × 175.65
  4. Step 4: Simplify right side
    175.65x = 43,288.94
  5. Step 5: Solve for x
    x = 43,288.94/175.65
  6. Step 6: Final answer
    x = 246.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.