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Finding the Fourth Proportional to 420.70, 631.14 and 160.72

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Solution

The fourth proportional to 420.70, 631.14 and 160.72 is: 241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.70 : 631.14 = 160.72 : x
  2. Step 2: Convert to fraction form
    420.70/631.14 = 160.72/x
  3. Step 3: Cross multiply
    420.70x = 631.14 × 160.72
  4. Step 4: Simplify right side
    420.70x = 101,436.82
  5. Step 5: Solve for x
    x = 101,436.82/420.70
  6. Step 6: Final answer
    x = 241.11

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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.