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Finding the Fourth Proportional to 420.14, 630.26 and 176.83

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Solution

The fourth proportional to 420.14, 630.26 and 176.83 is: 265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.14 : 630.26 = 176.83 : x
  2. Step 2: Convert to fraction form
    420.14/630.26 = 176.83/x
  3. Step 3: Cross multiply
    420.14x = 630.26 × 176.83
  4. Step 4: Simplify right side
    420.14x = 111,448.88
  5. Step 5: Solve for x
    x = 111,448.88/420.14
  6. Step 6: Final answer
    x = 265.27

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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.