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Finding the Fourth Proportional to 187.84, 259.47 and 156.86

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Solution

The fourth proportional to 187.84, 259.47 and 156.86 is: 216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.84 : 259.47 = 156.86 : x
  2. Step 2: Convert to fraction form
    187.84/259.47 = 156.86/x
  3. Step 3: Cross multiply
    187.84x = 259.47 × 156.86
  4. Step 4: Simplify right side
    187.84x = 40,700.46
  5. Step 5: Solve for x
    x = 40,700.46/187.84
  6. Step 6: Final answer
    x = 216.68

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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.