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Finding the Fourth Proportional to 156.42, 233.10 and 145.49

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Solution

The fourth proportional to 156.42, 233.10 and 145.49 is: 216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.42 : 233.10 = 145.49 : x
  2. Step 2: Convert to fraction form
    156.42/233.10 = 145.49/x
  3. Step 3: Cross multiply
    156.42x = 233.10 × 145.49
  4. Step 4: Simplify right side
    156.42x = 33,913.72
  5. Step 5: Solve for x
    x = 33,913.72/156.42
  6. Step 6: Final answer
    x = 216.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.