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Finding the Fourth Proportional to 292.24, 438.65 and 130.03

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Solution

The fourth proportional to 292.24, 438.65 and 130.03 is: 195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.24 : 438.65 = 130.03 : x
  2. Step 2: Convert to fraction form
    292.24/438.65 = 130.03/x
  3. Step 3: Cross multiply
    292.24x = 438.65 × 130.03
  4. Step 4: Simplify right side
    292.24x = 57,037.01
  5. Step 5: Solve for x
    x = 57,037.01/292.24
  6. Step 6: Final answer
    x = 195.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.