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Finding the Fourth Proportional to 145.05, 218.30 and 130.89

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Solution

The fourth proportional to 145.05, 218.30 and 130.89 is: 197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.05 : 218.30 = 130.89 : x
  2. Step 2: Convert to fraction form
    145.05/218.30 = 130.89/x
  3. Step 3: Cross multiply
    145.05x = 218.30 × 130.89
  4. Step 4: Simplify right side
    145.05x = 28,573.45
  5. Step 5: Solve for x
    x = 28,573.45/145.05
  6. Step 6: Final answer
    x = 197.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.