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Finding the Fourth Proportional to 156.53, 233.49 and 153.65

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Solution

The fourth proportional to 156.53, 233.49 and 153.65 is: 229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.53 : 233.49 = 153.65 : x
  2. Step 2: Convert to fraction form
    156.53/233.49 = 153.65/x
  3. Step 3: Cross multiply
    156.53x = 233.49 × 153.65
  4. Step 4: Simplify right side
    156.53x = 35,875.74
  5. Step 5: Solve for x
    x = 35,875.74/156.53
  6. Step 6: Final answer
    x = 229.19

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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.