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Finding the Fourth Proportional to 420.84, 631.24 and 146.93

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Solution

The fourth proportional to 420.84, 631.24 and 146.93 is: 220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.84 : 631.24 = 146.93 : x
  2. Step 2: Convert to fraction form
    420.84/631.24 = 146.93/x
  3. Step 3: Cross multiply
    420.84x = 631.24 × 146.93
  4. Step 4: Simplify right side
    420.84x = 92,744.57
  5. Step 5: Solve for x
    x = 92,744.57/420.84
  6. Step 6: Final answer
    x = 220.38

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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.