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Finding the Fourth Proportional to 233.69, 349.97 and 152.28

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Solution

The fourth proportional to 233.69, 349.97 and 152.28 is: 228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.69 : 349.97 = 152.28 : x
  2. Step 2: Convert to fraction form
    233.69/349.97 = 152.28/x
  3. Step 3: Cross multiply
    233.69x = 349.97 × 152.28
  4. Step 4: Simplify right side
    233.69x = 53,292.67
  5. Step 5: Solve for x
    x = 53,292.67/233.69
  6. Step 6: Final answer
    x = 228.05

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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.