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Finding the Fourth Proportional to 156.84, 216 and 137.40

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Solution

The fourth proportional to 156.84, 216 and 137.40 is: 189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.84 : 216 = 137.40 : x
  2. Step 2: Convert to fraction form
    156.84/216 = 137.40/x
  3. Step 3: Cross multiply
    156.84x = 216 × 137.40
  4. Step 4: Simplify right side
    156.84x = 29,678.40
  5. Step 5: Solve for x
    x = 29,678.40/156.84
  6. Step 6: Final answer
    x = 189.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.