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Finding the Fourth Proportional to 261.60, 392.56 and 117.32

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Solution

The fourth proportional to 261.60, 392.56 and 117.32 is: 176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.60 : 392.56 = 117.32 : x
  2. Step 2: Convert to fraction form
    261.60/392.56 = 117.32/x
  3. Step 3: Cross multiply
    261.60x = 392.56 × 117.32
  4. Step 4: Simplify right side
    261.60x = 46,055.14
  5. Step 5: Solve for x
    x = 46,055.14/261.60
  6. Step 6: Final answer
    x = 176.05

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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.