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Finding the Fourth Proportional to 162.12, 241.08 and 156.72

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Solution

The fourth proportional to 162.12, 241.08 and 156.72 is: 233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.12 : 241.08 = 156.72 : x
  2. Step 2: Convert to fraction form
    162.12/241.08 = 156.72/x
  3. Step 3: Cross multiply
    162.12x = 241.08 × 156.72
  4. Step 4: Simplify right side
    162.12x = 37,782.06
  5. Step 5: Solve for x
    x = 37,782.06/162.12
  6. Step 6: Final answer
    x = 233.05

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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.