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Finding the Fourth Proportional to 614.84, 922.37 and 181.98

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Solution

The fourth proportional to 614.84, 922.37 and 181.98 is: 273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.84 : 922.37 = 181.98 : x
  2. Step 2: Convert to fraction form
    614.84/922.37 = 181.98/x
  3. Step 3: Cross multiply
    614.84x = 922.37 × 181.98
  4. Step 4: Simplify right side
    614.84x = 167,851.98
  5. Step 5: Solve for x
    x = 167,851.98/614.84
  6. Step 6: Final answer
    x = 273.00

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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.