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Finding the Fourth Proportional to 160.98, 241.42 and 152.08

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Solution

The fourth proportional to 160.98, 241.42 and 152.08 is: 228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.98 : 241.42 = 152.08 : x
  2. Step 2: Convert to fraction form
    160.98/241.42 = 152.08/x
  3. Step 3: Cross multiply
    160.98x = 241.42 × 152.08
  4. Step 4: Simplify right side
    160.98x = 36,715.15
  5. Step 5: Solve for x
    x = 36,715.15/160.98
  6. Step 6: Final answer
    x = 228.07

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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.