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Finding the Fourth Proportional to 283.42, 424.96 and 121.06

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Solution

The fourth proportional to 283.42, 424.96 and 121.06 is: 181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.42 : 424.96 = 121.06 : x
  2. Step 2: Convert to fraction form
    283.42/424.96 = 121.06/x
  3. Step 3: Cross multiply
    283.42x = 424.96 × 121.06
  4. Step 4: Simplify right side
    283.42x = 51,445.66
  5. Step 5: Solve for x
    x = 51,445.66/283.42
  6. Step 6: Final answer
    x = 181.52

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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.