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Finding the Fourth Proportional to 614.94, 922.34 and 176.22

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Solution

The fourth proportional to 614.94, 922.34 and 176.22 is: 264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.94 : 922.34 = 176.22 : x
  2. Step 2: Convert to fraction form
    614.94/922.34 = 176.22/x
  3. Step 3: Cross multiply
    614.94x = 922.34 × 176.22
  4. Step 4: Simplify right side
    614.94x = 162,530.14
  5. Step 5: Solve for x
    x = 162,530.14/614.94
  6. Step 6: Final answer
    x = 264.30

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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.