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Finding the Fourth Proportional to 233.60, 351.07 and 152.94

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Solution

The fourth proportional to 233.60, 351.07 and 152.94 is: 229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.60 : 351.07 = 152.94 : x
  2. Step 2: Convert to fraction form
    233.60/351.07 = 152.94/x
  3. Step 3: Cross multiply
    233.60x = 351.07 × 152.94
  4. Step 4: Simplify right side
    233.60x = 53,692.26
  5. Step 5: Solve for x
    x = 53,692.26/233.60
  6. Step 6: Final answer
    x = 229.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.