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Finding the Fourth Proportional to 420.02, 630.11 and 146.10

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Solution

The fourth proportional to 420.02, 630.11 and 146.10 is: 219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.02 : 630.11 = 146.10 : x
  2. Step 2: Convert to fraction form
    420.02/630.11 = 146.10/x
  3. Step 3: Cross multiply
    420.02x = 630.11 × 146.10
  4. Step 4: Simplify right side
    420.02x = 92,059.07
  5. Step 5: Solve for x
    x = 92,059.07/420.02
  6. Step 6: Final answer
    x = 219.18

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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.