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Finding the Fourth Proportional to 152.70, 229 and 43

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Solution

The fourth proportional to 152.70, 229 and 43 is: 64.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.70 : 229 = 43 : x
  2. Step 2: Convert to fraction form
    152.70/229 = 43/x
  3. Step 3: Cross multiply
    152.70x = 229 × 43
  4. Step 4: Simplify right side
    152.70x = 9,847
  5. Step 5: Solve for x
    x = 9,847/152.70
  6. Step 6: Final answer
    x = 64.49

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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.