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Finding the Fourth Proportional to 156.51, 234.45 and 117.81

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Solution

The fourth proportional to 156.51, 234.45 and 117.81 is: 176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.51 : 234.45 = 117.81 : x
  2. Step 2: Convert to fraction form
    156.51/234.45 = 117.81/x
  3. Step 3: Cross multiply
    156.51x = 234.45 × 117.81
  4. Step 4: Simplify right side
    156.51x = 27,620.55
  5. Step 5: Solve for x
    x = 27,620.55/156.51
  6. Step 6: Final answer
    x = 176.48

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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.