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Finding the Fourth Proportional to 312.57, 469.14 and 158.60

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Solution

The fourth proportional to 312.57, 469.14 and 158.60 is: 238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.57 : 469.14 = 158.60 : x
  2. Step 2: Convert to fraction form
    312.57/469.14 = 158.60/x
  3. Step 3: Cross multiply
    312.57x = 469.14 × 158.60
  4. Step 4: Simplify right side
    312.57x = 74,404.81
  5. Step 5: Solve for x
    x = 74,404.81/312.57
  6. Step 6: Final answer
    x = 238.05

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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.