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Finding the Fourth Proportional to 156.72, 235.93 and 142.59

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Solution

The fourth proportional to 156.72, 235.93 and 142.59 is: 214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.72 : 235.93 = 142.59 : x
  2. Step 2: Convert to fraction form
    156.72/235.93 = 142.59/x
  3. Step 3: Cross multiply
    156.72x = 235.93 × 142.59
  4. Step 4: Simplify right side
    156.72x = 33,641.26
  5. Step 5: Solve for x
    x = 33,641.26/156.72
  6. Step 6: Final answer
    x = 214.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.