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Finding the Fourth Proportional to 145.84, 201.23 and 130.23

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Solution

The fourth proportional to 145.84, 201.23 and 130.23 is: 179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.84 : 201.23 = 130.23 : x
  2. Step 2: Convert to fraction form
    145.84/201.23 = 130.23/x
  3. Step 3: Cross multiply
    145.84x = 201.23 × 130.23
  4. Step 4: Simplify right side
    145.84x = 26,206.18
  5. Step 5: Solve for x
    x = 26,206.18/145.84
  6. Step 6: Final answer
    x = 179.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.