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Finding the Fourth Proportional to 229.98, 317.08 and 156.16

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Solution

The fourth proportional to 229.98, 317.08 and 156.16 is: 215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.98 : 317.08 = 156.16 : x
  2. Step 2: Convert to fraction form
    229.98/317.08 = 156.16/x
  3. Step 3: Cross multiply
    229.98x = 317.08 × 156.16
  4. Step 4: Simplify right side
    229.98x = 49,515.21
  5. Step 5: Solve for x
    x = 49,515.21/229.98
  6. Step 6: Final answer
    x = 215.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.