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Finding the Fourth Proportional to 498.90, 748.35 and 152.23

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Solution

The fourth proportional to 498.90, 748.35 and 152.23 is: 228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.90 : 748.35 = 152.23 : x
  2. Step 2: Convert to fraction form
    498.90/748.35 = 152.23/x
  3. Step 3: Cross multiply
    498.90x = 748.35 × 152.23
  4. Step 4: Simplify right side
    498.90x = 113,920.02
  5. Step 5: Solve for x
    x = 113,920.02/498.90
  6. Step 6: Final answer
    x = 228.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.