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Finding the Fourth Proportional to 470.42, 705.62 and 145.78

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Solution

The fourth proportional to 470.42, 705.62 and 145.78 is: 218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.42 : 705.62 = 145.78 : x
  2. Step 2: Convert to fraction form
    470.42/705.62 = 145.78/x
  3. Step 3: Cross multiply
    470.42x = 705.62 × 145.78
  4. Step 4: Simplify right side
    470.42x = 102,865.28
  5. Step 5: Solve for x
    x = 102,865.28/470.42
  6. Step 6: Final answer
    x = 218.67

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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.