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Finding the Fourth Proportional to 614.76, 922.18 and 230

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Solution

The fourth proportional to 614.76, 922.18 and 230 is: 345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.76 : 922.18 = 230 : x
  2. Step 2: Convert to fraction form
    614.76/922.18 = 230/x
  3. Step 3: Cross multiply
    614.76x = 922.18 × 230
  4. Step 4: Simplify right side
    614.76x = 212,101.40
  5. Step 5: Solve for x
    x = 212,101.40/614.76
  6. Step 6: Final answer
    x = 345.01

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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.