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Finding the Fourth Proportional to 470.14, 705.21 and 145.50

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Solution

The fourth proportional to 470.14, 705.21 and 145.50 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.14 : 705.21 = 145.50 : x
  2. Step 2: Convert to fraction form
    470.14/705.21 = 145.50/x
  3. Step 3: Cross multiply
    470.14x = 705.21 × 145.50
  4. Step 4: Simplify right side
    470.14x = 102,608.06
  5. Step 5: Solve for x
    x = 102,608.06/470.14
  6. Step 6: Final answer
    x = 218.25

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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.