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Finding the Fourth Proportional to 261.32, 392.02 and 152.98

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Solution

The fourth proportional to 261.32, 392.02 and 152.98 is: 229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.32 : 392.02 = 152.98 : x
  2. Step 2: Convert to fraction form
    261.32/392.02 = 152.98/x
  3. Step 3: Cross multiply
    261.32x = 392.02 × 152.98
  4. Step 4: Simplify right side
    261.32x = 59,971.22
  5. Step 5: Solve for x
    x = 59,971.22/261.32
  6. Step 6: Final answer
    x = 229.49

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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.