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Finding the Fourth Proportional to 470.55, 705.69 and 158.14

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Solution

The fourth proportional to 470.55, 705.69 and 158.14 is: 237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.55 : 705.69 = 158.14 : x
  2. Step 2: Convert to fraction form
    470.55/705.69 = 158.14/x
  3. Step 3: Cross multiply
    470.55x = 705.69 × 158.14
  4. Step 4: Simplify right side
    470.55x = 111,597.26
  5. Step 5: Solve for x
    x = 111,597.26/470.55
  6. Step 6: Final answer
    x = 237.17

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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.