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Finding the Fourth Proportional to 470.06, 705.12 and 145.46

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Solution

The fourth proportional to 470.06, 705.12 and 145.46 is: 218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.06 : 705.12 = 145.46 : x
  2. Step 2: Convert to fraction form
    470.06/705.12 = 145.46/x
  3. Step 3: Cross multiply
    470.06x = 705.12 × 145.46
  4. Step 4: Simplify right side
    470.06x = 102,566.76
  5. Step 5: Solve for x
    x = 102,566.76/470.06
  6. Step 6: Final answer
    x = 218.20

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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.