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Finding the Fourth Proportional to 420.99, 631.63 and 177.68

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Solution

The fourth proportional to 420.99, 631.63 and 177.68 is: 266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.99 : 631.63 = 177.68 : x
  2. Step 2: Convert to fraction form
    420.99/631.63 = 177.68/x
  3. Step 3: Cross multiply
    420.99x = 631.63 × 177.68
  4. Step 4: Simplify right side
    420.99x = 112,229.82
  5. Step 5: Solve for x
    x = 112,229.82/420.99
  6. Step 6: Final answer
    x = 266.59

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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.