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Finding the Fourth Proportional to 608.06, 912.14 and 175.22

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Solution

The fourth proportional to 608.06, 912.14 and 175.22 is: 262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.06 : 912.14 = 175.22 : x
  2. Step 2: Convert to fraction form
    608.06/912.14 = 175.22/x
  3. Step 3: Cross multiply
    608.06x = 912.14 × 175.22
  4. Step 4: Simplify right side
    608.06x = 159,824.80
  5. Step 5: Solve for x
    x = 159,824.80/608.06
  6. Step 6: Final answer
    x = 262.84

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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.