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Finding the Fourth Proportional to 404.71, 607.22 and 161.40

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Solution

The fourth proportional to 404.71, 607.22 and 161.40 is: 242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.71 : 607.22 = 161.40 : x
  2. Step 2: Convert to fraction form
    404.71/607.22 = 161.40/x
  3. Step 3: Cross multiply
    404.71x = 607.22 × 161.40
  4. Step 4: Simplify right side
    404.71x = 98,007.38
  5. Step 5: Solve for x
    x = 98,007.38/404.71
  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.