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Finding the Fourth Proportional to 156.16, 215.28 and 117.28

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Solution

The fourth proportional to 156.16, 215.28 and 117.28 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 215.28 = 117.28 : x
  2. Step 2: Convert to fraction form
    156.16/215.28 = 117.28/x
  3. Step 3: Cross multiply
    156.16x = 215.28 × 117.28
  4. Step 4: Simplify right side
    156.16x = 25,248.04
  5. Step 5: Solve for x
    x = 25,248.04/156.16
  6. Step 6: Final answer
    x = 161.68

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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.