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Finding the Fourth Proportional to 160.16, 221.65 and 156.33

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Solution

The fourth proportional to 160.16, 221.65 and 156.33 is: 216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.16 : 221.65 = 156.33 : x
  2. Step 2: Convert to fraction form
    160.16/221.65 = 156.33/x
  3. Step 3: Cross multiply
    160.16x = 221.65 × 156.33
  4. Step 4: Simplify right side
    160.16x = 34,650.20
  5. Step 5: Solve for x
    x = 34,650.20/160.16
  6. Step 6: Final answer
    x = 216.35

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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.