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Finding the Fourth Proportional to 420.10, 629.74 and 145.99

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Solution

The fourth proportional to 420.10, 629.74 and 145.99 is: 218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.10 : 629.74 = 145.99 : x
  2. Step 2: Convert to fraction form
    420.10/629.74 = 145.99/x
  3. Step 3: Cross multiply
    420.10x = 629.74 × 145.99
  4. Step 4: Simplify right side
    420.10x = 91,935.74
  5. Step 5: Solve for x
    x = 91,935.74/420.10
  6. Step 6: Final answer
    x = 218.84

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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.