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Finding the Fourth Proportional to 185.76, 256.41 and 130.50

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Solution

The fourth proportional to 185.76, 256.41 and 130.50 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 256.41 = 130.50 : x
  2. Step 2: Convert to fraction form
    185.76/256.41 = 130.50/x
  3. Step 3: Cross multiply
    185.76x = 256.41 × 130.50
  4. Step 4: Simplify right side
    185.76x = 33,461.51
  5. Step 5: Solve for x
    x = 33,461.51/185.76
  6. Step 6: Final answer
    x = 180.13

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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.