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Finding the Fourth Proportional to 156.59, 233.55 and 152.03

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Solution

The fourth proportional to 156.59, 233.55 and 152.03 is: 226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.59 : 233.55 = 152.03 : x
  2. Step 2: Convert to fraction form
    156.59/233.55 = 152.03/x
  3. Step 3: Cross multiply
    156.59x = 233.55 × 152.03
  4. Step 4: Simplify right side
    156.59x = 35,506.61
  5. Step 5: Solve for x
    x = 35,506.61/156.59
  6. Step 6: Final answer
    x = 226.75

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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.