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Finding the Fourth Proportional to 420.12, 630.37 and 188.99

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Solution

The fourth proportional to 420.12, 630.37 and 188.99 is: 283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 630.37 = 188.99 : x
  2. Step 2: Convert to fraction form
    420.12/630.37 = 188.99/x
  3. Step 3: Cross multiply
    420.12x = 630.37 × 188.99
  4. Step 4: Simplify right side
    420.12x = 119,133.63
  5. Step 5: Solve for x
    x = 119,133.63/420.12
  6. Step 6: Final answer
    x = 283.57

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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.