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Finding the Fourth Proportional to 537, 805.50 and 152.28

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Solution

The fourth proportional to 537, 805.50 and 152.28 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537 : 805.50 = 152.28 : x
  2. Step 2: Convert to fraction form
    537/805.50 = 152.28/x
  3. Step 3: Cross multiply
    537x = 805.50 × 152.28
  4. Step 4: Simplify right side
    537x = 122,661.54
  5. Step 5: Solve for x
    x = 122,661.54/537
  6. Step 6: Final answer
    x = 228.42

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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.