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Finding the Fourth Proportional to 498.83, 748.34 and 152.13

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Solution

The fourth proportional to 498.83, 748.34 and 152.13 is: 228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.83 : 748.34 = 152.13 : x
  2. Step 2: Convert to fraction form
    498.83/748.34 = 152.13/x
  3. Step 3: Cross multiply
    498.83x = 748.34 × 152.13
  4. Step 4: Simplify right side
    498.83x = 113,840.84
  5. Step 5: Solve for x
    x = 113,840.84/498.83
  6. Step 6: Final answer
    x = 228.22

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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.