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Finding the Fourth Proportional to 145.80, 197.10 and 145.80

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Solution

The fourth proportional to 145.80, 197.10 and 145.80 is: 197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 197.10 = 145.80 : x
  2. Step 2: Convert to fraction form
    145.80/197.10 = 145.80/x
  3. Step 3: Cross multiply
    145.80x = 197.10 × 145.80
  4. Step 4: Simplify right side
    145.80x = 28,737.18
  5. Step 5: Solve for x
    x = 28,737.18/145.80
  6. Step 6: Final answer
    x = 197.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.