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Finding the Fourth Proportional to 233.74, 350.38 and 152.63

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Solution

The fourth proportional to 233.74, 350.38 and 152.63 is: 228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 350.38 = 152.63 : x
  2. Step 2: Convert to fraction form
    233.74/350.38 = 152.63/x
  3. Step 3: Cross multiply
    233.74x = 350.38 × 152.63
  4. Step 4: Simplify right side
    233.74x = 53,479.36
  5. Step 5: Solve for x
    x = 53,479.36/233.74
  6. Step 6: Final answer
    x = 228.80

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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.