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Finding the Fourth Proportional to 261.39, 392.28 and 97.01

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Solution

The fourth proportional to 261.39, 392.28 and 97.01 is: 145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.39 : 392.28 = 97.01 : x
  2. Step 2: Convert to fraction form
    261.39/392.28 = 97.01/x
  3. Step 3: Cross multiply
    261.39x = 392.28 × 97.01
  4. Step 4: Simplify right side
    261.39x = 38,055.19
  5. Step 5: Solve for x
    x = 38,055.19/261.39
  6. Step 6: Final answer
    x = 145.59

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