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Finding the Fourth Proportional to 470.48, 705.51 and 145.82

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Solution

The fourth proportional to 470.48, 705.51 and 145.82 is: 218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 705.51 = 145.82 : x
  2. Step 2: Convert to fraction form
    470.48/705.51 = 145.82/x
  3. Step 3: Cross multiply
    470.48x = 705.51 × 145.82
  4. Step 4: Simplify right side
    470.48x = 102,877.47
  5. Step 5: Solve for x
    x = 102,877.47/470.48
  6. Step 6: Final answer
    x = 218.66

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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.