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Finding the Fourth Proportional to 228.77, 315.70 and 130.53

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Solution

The fourth proportional to 228.77, 315.70 and 130.53 is: 180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.77 : 315.70 = 130.53 : x
  2. Step 2: Convert to fraction form
    228.77/315.70 = 130.53/x
  3. Step 3: Cross multiply
    228.77x = 315.70 × 130.53
  4. Step 4: Simplify right side
    228.77x = 41,208.32
  5. Step 5: Solve for x
    x = 41,208.32/228.77
  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.