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Finding the Fourth Proportional to 470.16, 705.24 and 177.48

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Solution

The fourth proportional to 470.16, 705.24 and 177.48 is: 266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 705.24 = 177.48 : x
  2. Step 2: Convert to fraction form
    470.16/705.24 = 177.48/x
  3. Step 3: Cross multiply
    470.16x = 705.24 × 177.48
  4. Step 4: Simplify right side
    470.16x = 125,166.00
  5. Step 5: Solve for x
    x = 125,166.00/470.16
  6. Step 6: Final answer
    x = 266.22

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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.