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Finding the Fourth Proportional to 542.03, 813.02 and 152.03

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Solution

The fourth proportional to 542.03, 813.02 and 152.03 is: 228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.03 : 813.02 = 152.03 : x
  2. Step 2: Convert to fraction form
    542.03/813.02 = 152.03/x
  3. Step 3: Cross multiply
    542.03x = 813.02 × 152.03
  4. Step 4: Simplify right side
    542.03x = 123,604.20
  5. Step 5: Solve for x
    x = 123,604.20/542.03
  6. Step 6: Final answer
    x = 228.04

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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.