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Finding the Fourth Proportional to 475.02, 712.41 and 145.98

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Solution

The fourth proportional to 475.02, 712.41 and 145.98 is: 218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.02 : 712.41 = 145.98 : x
  2. Step 2: Convert to fraction form
    475.02/712.41 = 145.98/x
  3. Step 3: Cross multiply
    475.02x = 712.41 × 145.98
  4. Step 4: Simplify right side
    475.02x = 103,997.61
  5. Step 5: Solve for x
    x = 103,997.61/475.02
  6. Step 6: Final answer
    x = 218.93

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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.