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Finding the Fourth Proportional to 156.48, 233.04 and 152.16

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Solution

The fourth proportional to 156.48, 233.04 and 152.16 is: 226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.48 : 233.04 = 152.16 : x
  2. Step 2: Convert to fraction form
    156.48/233.04 = 152.16/x
  3. Step 3: Cross multiply
    156.48x = 233.04 × 152.16
  4. Step 4: Simplify right side
    156.48x = 35,459.37
  5. Step 5: Solve for x
    x = 35,459.37/156.48
  6. Step 6: Final answer
    x = 226.61

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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.