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Finding the Fourth Proportional to 156.03, 233.76 and 135.51

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Solution

The fourth proportional to 156.03, 233.76 and 135.51 is: 203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.03 : 233.76 = 135.51 : x
  2. Step 2: Convert to fraction form
    156.03/233.76 = 135.51/x
  3. Step 3: Cross multiply
    156.03x = 233.76 × 135.51
  4. Step 4: Simplify right side
    156.03x = 31,676.82
  5. Step 5: Solve for x
    x = 31,676.82/156.03
  6. Step 6: Final answer
    x = 203.02

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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.