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Finding the Fourth Proportional to 623.68, 935.43 and 161.46

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Solution

The fourth proportional to 623.68, 935.43 and 161.46 is: 242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.68 : 935.43 = 161.46 : x
  2. Step 2: Convert to fraction form
    623.68/935.43 = 161.46/x
  3. Step 3: Cross multiply
    623.68x = 935.43 × 161.46
  4. Step 4: Simplify right side
    623.68x = 151,034.83
  5. Step 5: Solve for x
    x = 151,034.83/623.68
  6. Step 6: Final answer
    x = 242.17

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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.