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Finding the Fourth Proportional to 420.53, 630.63 and 142.82

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Solution

The fourth proportional to 420.53, 630.63 and 142.82 is: 214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.53 : 630.63 = 142.82 : x
  2. Step 2: Convert to fraction form
    420.53/630.63 = 142.82/x
  3. Step 3: Cross multiply
    420.53x = 630.63 × 142.82
  4. Step 4: Simplify right side
    420.53x = 90,063.42
  5. Step 5: Solve for x
    x = 90,063.42/420.53
  6. Step 6: Final answer
    x = 214.17

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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.