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Finding the Fourth Proportional to 420.10, 630.08 and 146.18

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Solution

The fourth proportional to 420.10, 630.08 and 146.18 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.10 : 630.08 = 146.18 : x
  2. Step 2: Convert to fraction form
    420.10/630.08 = 146.18/x
  3. Step 3: Cross multiply
    420.10x = 630.08 × 146.18
  4. Step 4: Simplify right side
    420.10x = 92,105.09
  5. Step 5: Solve for x
    x = 92,105.09/420.10
  6. Step 6: Final answer
    x = 219.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.