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Finding the Fourth Proportional to 283.09, 424.23 and 152.99

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Solution

The fourth proportional to 283.09, 424.23 and 152.99 is: 229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.09 : 424.23 = 152.99 : x
  2. Step 2: Convert to fraction form
    283.09/424.23 = 152.99/x
  3. Step 3: Cross multiply
    283.09x = 424.23 × 152.99
  4. Step 4: Simplify right side
    283.09x = 64,900.06
  5. Step 5: Solve for x
    x = 64,900.06/283.09
  6. Step 6: Final answer
    x = 229.26

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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.