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Finding the Fourth Proportional to 152.35, 228.12 and 111.46

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Solution

The fourth proportional to 152.35, 228.12 and 111.46 is: 166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.35 : 228.12 = 111.46 : x
  2. Step 2: Convert to fraction form
    152.35/228.12 = 111.46/x
  3. Step 3: Cross multiply
    152.35x = 228.12 × 111.46
  4. Step 4: Simplify right side
    152.35x = 25,426.26
  5. Step 5: Solve for x
    x = 25,426.26/152.35
  6. Step 6: Final answer
    x = 166.89

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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.