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Finding the Fourth Proportional to 156.53, 235.24 and 145.21

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Solution

The fourth proportional to 156.53, 235.24 and 145.21 is: 218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.53 : 235.24 = 145.21 : x
  2. Step 2: Convert to fraction form
    156.53/235.24 = 145.21/x
  3. Step 3: Cross multiply
    156.53x = 235.24 × 145.21
  4. Step 4: Simplify right side
    156.53x = 34,159.20
  5. Step 5: Solve for x
    x = 34,159.20/156.53
  6. Step 6: Final answer
    x = 218.23

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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.