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Finding the Fourth Proportional to 542.07, 813.02 and 152.03

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Solution

The fourth proportional to 542.07, 813.02 and 152.03 is: 228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.07 : 813.02 = 152.03 : x
  2. Step 2: Convert to fraction form
    542.07/813.02 = 152.03/x
  3. Step 3: Cross multiply
    542.07x = 813.02 × 152.03
  4. Step 4: Simplify right side
    542.07x = 123,598.61
  5. Step 5: Solve for x
    x = 123,598.61/542.07
  6. Step 6: Final answer
    x = 228.01

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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.