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Finding the Fourth Proportional to 470.10, 705.18 and 161.98

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Solution

The fourth proportional to 470.10, 705.18 and 161.98 is: 242.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.10 : 705.18 = 161.98 : x
  2. Step 2: Convert to fraction form
    470.10/705.18 = 161.98/x
  3. Step 3: Cross multiply
    470.10x = 705.18 × 161.98
  4. Step 4: Simplify right side
    470.10x = 114,225.06
  5. Step 5: Solve for x
    x = 114,225.06/470.10
  6. Step 6: Final answer
    x = 242.98

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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.