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Finding the Fourth Proportional to 470.08, 705.11 and 145.45

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Solution

The fourth proportional to 470.08, 705.11 and 145.45 is: 218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.08 : 705.11 = 145.45 : x
  2. Step 2: Convert to fraction form
    470.08/705.11 = 145.45/x
  3. Step 3: Cross multiply
    470.08x = 705.11 × 145.45
  4. Step 4: Simplify right side
    470.08x = 102,554.00
  5. Step 5: Solve for x
    x = 102,554.00/470.08
  6. Step 6: Final answer
    x = 218.17

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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.