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Finding the Fourth Proportional to 152.31, 228.40 and 75.23

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Solution

The fourth proportional to 152.31, 228.40 and 75.23 is: 112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.31 : 228.40 = 75.23 : x
  2. Step 2: Convert to fraction form
    152.31/228.40 = 75.23/x
  3. Step 3: Cross multiply
    152.31x = 228.40 × 75.23
  4. Step 4: Simplify right side
    152.31x = 17,181.01
  5. Step 5: Solve for x
    x = 17,181.01/152.31
  6. Step 6: Final answer
    x = 112.80

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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.