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Finding the Fourth Proportional to 233.34, 350.55 and 152.34

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Solution

The fourth proportional to 233.34, 350.55 and 152.34 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.34 : 350.55 = 152.34 : x
  2. Step 2: Convert to fraction form
    233.34/350.55 = 152.34/x
  3. Step 3: Cross multiply
    233.34x = 350.55 × 152.34
  4. Step 4: Simplify right side
    233.34x = 53,402.79
  5. Step 5: Solve for x
    x = 53,402.79/233.34
  6. Step 6: Final answer
    x = 228.86

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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.