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Finding the Fourth Proportional to 470.84, 706.18 and 124.19

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Solution

The fourth proportional to 470.84, 706.18 and 124.19 is: 186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.84 : 706.18 = 124.19 : x
  2. Step 2: Convert to fraction form
    470.84/706.18 = 124.19/x
  3. Step 3: Cross multiply
    470.84x = 706.18 × 124.19
  4. Step 4: Simplify right side
    470.84x = 87,700.49
  5. Step 5: Solve for x
    x = 87,700.49/470.84
  6. Step 6: Final answer
    x = 186.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.