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Finding the Fourth Proportional to 608.61, 912.78 and 175.80

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Solution

The fourth proportional to 608.61, 912.78 and 175.80 is: 263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.61 : 912.78 = 175.80 : x
  2. Step 2: Convert to fraction form
    608.61/912.78 = 175.80/x
  3. Step 3: Cross multiply
    608.61x = 912.78 × 175.80
  4. Step 4: Simplify right side
    608.61x = 160,466.72
  5. Step 5: Solve for x
    x = 160,466.72/608.61
  6. Step 6: Final answer
    x = 263.66

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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.