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Finding the Fourth Proportional to 145.80, 192.78 and 145.80

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Solution

The fourth proportional to 145.80, 192.78 and 145.80 is: 192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 192.78 = 145.80 : x
  2. Step 2: Convert to fraction form
    145.80/192.78 = 145.80/x
  3. Step 3: Cross multiply
    145.80x = 192.78 × 145.80
  4. Step 4: Simplify right side
    145.80x = 28,107.32
  5. Step 5: Solve for x
    x = 28,107.32/145.80
  6. Step 6: Final answer
    x = 192.78

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.