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Finding the Fourth Proportional to 475.74, 713.70 and 146.66

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Solution

The fourth proportional to 475.74, 713.70 and 146.66 is: 220.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.74 : 713.70 = 146.66 : x
  2. Step 2: Convert to fraction form
    475.74/713.70 = 146.66/x
  3. Step 3: Cross multiply
    475.74x = 713.70 × 146.66
  4. Step 4: Simplify right side
    475.74x = 104,667.67
  5. Step 5: Solve for x
    x = 104,667.67/475.74
  6. Step 6: Final answer
    x = 220.01

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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.