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Finding the Fourth Proportional to 420.57, 630.93 and 164.07

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Solution

The fourth proportional to 420.57, 630.93 and 164.07 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.57 : 630.93 = 164.07 : x
  2. Step 2: Convert to fraction form
    420.57/630.93 = 164.07/x
  3. Step 3: Cross multiply
    420.57x = 630.93 × 164.07
  4. Step 4: Simplify right side
    420.57x = 103,516.69
  5. Step 5: Solve for x
    x = 103,516.69/420.57
  6. Step 6: Final answer
    x = 246.13

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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.