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Finding the Fourth Proportional to 313.75, 432.98 and 175.75

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Solution

The fourth proportional to 313.75, 432.98 and 175.75 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 432.98 = 175.75 : x
  2. Step 2: Convert to fraction form
    313.75/432.98 = 175.75/x
  3. Step 3: Cross multiply
    313.75x = 432.98 × 175.75
  4. Step 4: Simplify right side
    313.75x = 76,095.36
  5. Step 5: Solve for x
    x = 76,095.36/313.75
  6. Step 6: Final answer
    x = 242.54

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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.